The Viral Balloon Puzzle - The REAL Answer Explained (Using Ph.D. Level Math)

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  • Опубликовано: 24 янв 2025

Комментарии • 8 тыс.

  • @MindYourDecisions
    @MindYourDecisions  6 лет назад +1760

    This is now the most watched video on RUclips featuring the Lambert W function, and also introducing many people to Knuth's up-arrow notation. And yet the math meanies never praise or share my videos! Math negativity is a huge reason why so many people dislike studying math...(more details below)
    People often send me puzzles they see on social media. They love these videos because learning how to solve them helps builds their confidence in math. The few negative comments must come from people who don't actually watch the videos--nearly everyone who watches them praises them very highly (100+ million views, Shorty Award nominee, praise from famous mathematicians, citations in books/papers/courses, frequent media mentions, positive reviews to my many books, etc.). Take it from me: don't listen to the confidence crushers/math meanies/dream destroyers! Everyone agrees negativity is hurting math education, so we need to be extra positive to cancel them out!

    • @gamefacierglitches
      @gamefacierglitches 6 лет назад +52

      MindYourDecisions the green balloons have different string lenghts. How would that change the answer?
      Im still in high school so i dont know anything about the Lambert stuff.

    • @DestinyIsDecided
      @DestinyIsDecided 6 лет назад +37

      Mr. Presh Talwalkar, the arrows for the balloons are not the same length. So the puzzle still has deeper meaning to it, which might further change the answer. P.S. Love your videos.

    • @br7078
      @br7078 6 лет назад +45

      We need positivity to cancel out the negativity? I thought it was the opposite. We need negativity to cancel out the negativity.
      + - = -
      Whereas
      - - = +

    • @MumboJ
      @MumboJ 6 лет назад +16

      Depends if your adding or multiplying.
      -1+1=0
      -1-1=-2

    • @michaeledwards2251
      @michaeledwards2251 6 лет назад +9

      Why not interpret the relative positions of the balloons as a slope. The line through the green balloons has a negative slope. This gives the interpretation the value of a single green balloon is -2.
      This gives an answer of -19.
      Remember most puzzles are meant to solved in your head without reference to external sources.

  • @iBlu-qo9mg
    @iBlu-qo9mg 5 лет назад +3360

    Him : Don’t say I’m overthinking it.
    Me : You’re overthinking it.

    • @classicdoctors2531
      @classicdoctors2531 5 лет назад +64

      He’s basically trying to find the Easter egg the creator of this problem was trying to hint at, if you listened.

    • @jeffcarey3045
      @jeffcarey3045 5 лет назад +157

      @@classicdoctors2531 He invented his own easter egg.

    • @alfabet_1-2-33
      @alfabet_1-2-33 5 лет назад +79

      Interpretation of the Bible be like

    • @raptorwithwings
      @raptorwithwings 4 года назад +53

      Hell, I thought the arrows were strings and the little nub on the end of a balloon when you tie it in a knot.

    • @al3xm1lner
      @al3xm1lner 4 года назад +2

      Ok so were gonna do a over the power of a plus the power of a over n
      (bruh, i done 4 / 2)

  • @angrycupofjoe8675
    @angrycupofjoe8675 6 лет назад +15109

    Who else did the math, before watching the video?

    • @astralblob
      @astralblob 6 лет назад +65

      angry cup of joe me

    • @JeremySmith-ve2ur
      @JeremySmith-ve2ur 6 лет назад +109

      Its compulsive to do it that way for anyone who's familiar with the buzzfeed teir presentation style of this channel.

    • @welshsteve2009
      @welshsteve2009 6 лет назад +295

      I did. I got 21 and was so proud of myself until I realised I had missed the darn arrows. I failed dramatically! Lol

    • @Barbie21
      @Barbie21 6 лет назад +73

      @@welshsteve2009 i also got 21

    • @nektus1667
      @nektus1667 6 лет назад +3

      Me

  • @MasterTMO
    @MasterTMO 3 года назад +1774

    Okay, I appreciate your assertion that you have to use *ALL* the data available to find the right answer, but *if* the direction of the balloons and the up arrow strings is significant to solving the answer, then you *MUST* take into account that the string of one of the green balloons is shorter than every other string shown. That must factor into solving the problem somehow. Otherwise you're saying minor differences in the graphics are immaterial, up to and probably including, the direction of the balloons themselves.

    • @corieolausen2105
      @corieolausen2105 3 года назад +82

      That's funny, I was thinking the same...I imagine his balloon on top of his neck has popped by now if he attempted to factor that recognizable anomaly into the equation!

    • @paulrandig
      @paulrandig 3 года назад +100

      @@corieolausen2105 If you are so into details - why not include the RGB value of the balloons' colour? Since a balloon is not a mathematical unit, I have the right to interpret whatever I want into it.

    • @rcglinski
      @rcglinski 3 года назад +40

      Completely agree. And a possible interpretation is that it's half of green since the tail is half as long.

    • @daviomusicozuero151
      @daviomusicozuero151 3 года назад +11

      It would be 26 if talking the length of the string into consideration (shorter string balloon = half string of one green balloon), without considering the direction and the up arrow strings.

    • @daviomusicozuero151
      @daviomusicozuero151 3 года назад +3

      If you wish to see my methods answer the this comment.

  • @kernwilson4603
    @kernwilson4603 2 года назад +19

    I'm with Master TMO. If you try to make significance out of the relative heights of the paired baloons, you must also give significance to the differing lengths of the strings. The best answer still looks like 21 to me.

    • @Chris-hf2sl
      @Chris-hf2sl 6 месяцев назад +1

      I agree. I think that the second interpretation in the video is rubbish. As you point out, the strings have different lengths (but only for the green balloons), so basing your answer on that observation is just as valid an approach, though I've no idea what you could do with such information.
      I also noted that the pairs of green and blue balloons overlap, so the visible area in both cases of each pair is less than twice the visible area of a single balloon. Maybe one should take that into account too.
      And should we be interpreting the +, - and x signs in their usual manner? Different branches of mathematics interpret them differently, so which interpretation are we supposed to use here?
      Finally, and most importantly, what about the double question mark on the final line? Is this just sloppy presentation (bad English or poor drawing)? If so, then the string lengths, balloon positions etc. have no meaning, so tetration is out. Alternatively, does the double question mark imply a two digit answer. If so, again, tetration is out. So either way, the tetration approach is wrong, unless you can think of another interpretation for a double question mark.
      No. None of these ideas, including the tetration one make any sense, so I agree with you that the simple approach, that leads to 21 is correct. As my Father always used to tell me, when there are several possible answers to a question, the simplest one is nearly always the correct one.

  • @hopeislife1846
    @hopeislife1846 5 лет назад +1502

    He is a master when it comes to overthinking simple problems

    • @EnerJetix
      @EnerJetix 5 лет назад +12

      Lol yes

    • @Mike14264
      @Mike14264 5 лет назад +49

      Why is he thinking of the strings as arrows? They're strings!

    • @RangerCaptain11A
      @RangerCaptain11A 5 лет назад +43

      @@Mike14264 if the strings are not strings, then the balloons are not balloons

    • @Mike14264
      @Mike14264 5 лет назад +13

      @@RangerCaptain11A and the knots are not knots.

    • @RangerCaptain11A
      @RangerCaptain11A 5 лет назад +4

      @@Mike14264 they are knots^knot power

  • @ballzack1747
    @ballzack1747 4 года назад +749

    Kid : why is dad taking so long buying a baloon
    Dad :

  • @deusexmaximum8930
    @deusexmaximum8930 6 лет назад +1012

    What about the strings being different lengths between the green and blue pairs?

    • @Kuichio
      @Kuichio 6 лет назад +172

      I thought the same thing when he said "Let's use all the graphic info." Then he didn't.

    • @schrottproductions8782
      @schrottproductions8782 6 лет назад +110

      "the real answer should encapsulate all of the visual details" but then he just ignored it and it bugged me the whole video

    • @ThePolulos
      @ThePolulos 6 лет назад +7

      ikr lmao

    • @TheKayarProductions
      @TheKayarProductions 6 лет назад +19

      @@schrottproductions8782 waste of time, i thought the same when he said that. There goes our 9 minutes down the drain with no answers

    • @sparkyjones560
      @sparkyjones560 5 лет назад +23

      Factoring in the length of the arrows, the answer is 48.
      You're welcome.

  • @JordzXD
    @JordzXD 2 года назад +23

    Its interesting because if you do regular order of operations the 'easy' way, the answer is 21, or if you do it left to right, not using order of operations its 22. So thats why i think its super interesting that with this more complex answer you basically get 21.5

    • @pumpkin095
      @pumpkin095 2 года назад +1

      Ugh what?

    • @fromallsides
      @fromallsides 2 года назад +2

      I follow you bro!

    • @we4r119
      @we4r119 2 года назад +1

      Yes, I'm no mathematician, didn’t know or had forgotten the order of operation and got 22. I was satisfied with my answer. 😂😂😂

    • @gbhxu
      @gbhxu Год назад

      @@we4r119 22 here too. For me to have got 21 the sum should have looked like 1+(10x2)

  • @allen25450
    @allen25450 3 года назад +1940

    4:05 is where 99% of people understand that 21 was the answer and are fine with that.

    • @MiguelSucksAtUrbanism
      @MiguelSucksAtUrbanism 3 года назад +40

      Wat, I got 22

    • @snap-off5383
      @snap-off5383 3 года назад +91

      @@MiguelSucksAtUrbanism order of operations. multiply 10 by two FIRST, then add one. Multiplication happens before addition, even if its not the left most operation.

    • @MiguelSucksAtUrbanism
      @MiguelSucksAtUrbanism 3 года назад +8

      @@snap-off5383already oticed, sorry

    • @lakshyatomar11a79
      @lakshyatomar11a79 3 года назад +7

      Oh okay
      But I got plus minus (40 + √14) as my answer.
      *a very long sigh*

    • @tb2324
      @tb2324 3 года назад +33

      Exactly. Figuring out a problem like that in the real world, on a job site, you’d be laughed at for wasting the company’s time by bragging all the high level math you know, then made fun of when everyone else says it’s 21.

  • @AuxenceF
    @AuxenceF 3 года назад +341

    0:24 obviously these are s and p atomic orbitals,
    so red = 2 electrons
    double green = 6 electrons
    double blue = 6 electrons
    then there is a trick, the p orbital are vieved from face but are still there
    so in the last line, we get 6 + 2 * 6 = 18, which allow us to fill our valence shell and get stable argon.

    • @prometheusmusic4559
      @prometheusmusic4559 3 года назад +13

      great solution)))

    • @desertmaker
      @desertmaker 3 года назад +3

      I thought I was the only one who got 18 for a minute 8)

    • @mangalpandey1303
      @mangalpandey1303 3 года назад +32

      When your favourite subject is chemistry but you are in maths class..

    • @entropy8902
      @entropy8902 3 года назад +15

      How is 2+2+2=30?

    • @peterclark6290
      @peterclark6290 2 года назад +1

      I dislike Maths (not Arithmetic) because it is trying too hard to be super-important. Hence it will try to be overly-complicated. It is quite prepared to be dishonest in this quest. E.g. It will invent and use 'i', an imaginary number, to solve non-problems. It persists with Set theory nearly a century after Ramsey et al demonstrated it has no validity. It invests the zero (the abstract statement of nothingness) with real world powers, as in m° = 1, however zero began its life as a marker to indicate this column has no members, which was extremely useful, a time-saver. Ergo mº = m as it should be. Maths and Arithmetic try to manipulate *abstract copies* of reality however it can only operate on the lower order properties of those objects. e.g. An apple is whole, it is red, it has mass and volume but the Apple is infinitely (and fascinatingly) more complicated than what Maths can resolve.
      Restore sanity to Maths and a whole raft of idiotic conclusions will also disappear taking with it Black Holes, Multiverses, Wormholes, Dark Matter and Reversing time. The damage to Science is immense; as only it can claim to be mankind's most important development, a gift that keeps on giving - and Maths is jealous.
      Finally the answer is 21. Those 'arrows' are graphical representations of the balloons opening tied with a piece of string - IOW they're not balls with arrows.

  • @yeetle9859
    @yeetle9859 6 лет назад +4114

    *Can we just say it's 21 and leave it at that?*

    • @denk-plays2700
      @denk-plays2700 6 лет назад +188

      On this channel no

    • @pedroocm
      @pedroocm 6 лет назад +140

      Nope, this answer is too easy, and they say you gotta be a genius to solve, so 21.56 must be the real answer

    • @kanva4
      @kanva4 6 лет назад +39

      @@pedroocm Aprox 21.56 that is

    • @anand.suralkar
      @anand.suralkar 6 лет назад +38

      Or we can solve this equation in complex dimentions also to get even more accurate answer

    • @gooblio
      @gooblio 6 лет назад +23

      I only have a M.Sc. so I got 21 and an IQ of only 160. I seen it and said," nay too much work 21 is close enough. "

  • @peterlewis2178
    @peterlewis2178 2 года назад +15

    This has so many acceptable answers, depending on the rules you apply. For example, I read the double balloons as being x^2 instead of 2x (or the really advanced version you showed that I don't understand). So the end answer for me was 20 + square root of 2.
    You also could have paid attention to the fact that the green balloons have two different lengths for the arrows, deduced that they're actually two separate values, and then used a proportion and the measurement of the lengths to figure out those individual values. And that information could have also been used for all three methods of solving it (addition, multiplication, and the method you did).

  • @confusionkale
    @confusionkale 4 года назад +1053

    Me: **gets 21**
    Answer: **21.56**
    Me: _I _*_totally_*_ rounded my answer down._

    • @iconic410
      @iconic410 4 года назад +63

      Well you should actually round it up due to simple "rounding rules"

    • @complexgamer947
      @complexgamer947 4 года назад +59

      @@iconic410 Let's give him the benefit of the doubt and assume he meant truncated ;)

    • @charlescabage730
      @charlescabage730 4 года назад +33

      But rounded up version is 22

    • @gregheffeley4922
      @gregheffeley4922 4 года назад +13

      Nah bro you mean you took the floor of the answer ☺

    • @aryanshahu6167
      @aryanshahu6167 4 года назад +1

      @mauda x 7 page nah my man kale took the "short" arrow under the green balloon into account and rounded down

  • @oceanz8892
    @oceanz8892 3 года назад +665

    We better count the pixels for each balloon and differentiate those pixels by their brightness as well. Besides, the 2 balloons in the same color has overlays and that must be indicating some hidden information too.

    • @hia5623
      @hia5623 3 года назад +11

      Epic

    • @mozart.108
      @mozart.108 3 года назад +4

      😂😂😂

    • @irenegold3969
      @irenegold3969 3 года назад +31

      LOL! Yes also mind the angle when the light hits them...Not to mention that green is a combination of blue and yellow...how much blue? Thank you for the laugh Ocean Z

    • @lukeolinger6000
      @lukeolinger6000 3 года назад +20

      Don't forget that the string length on the green balloons aren't equal.

    • @irenegold3969
      @irenegold3969 3 года назад +10

      @@lukeolinger6000 Thank you I almost missed that LOL

  • @DeerRyNa
    @DeerRyNa 4 года назад +519

    Normal people: *does the simple math equation and gets 21*
    Him: *does all the complicated equation to get 21.56*
    Me: *still thinks the answer is 21 because intact objects cannot exist partially and cannot be rounded up as there are parts that are literally unexistent*

    • @Mycatsmeow2
      @Mycatsmeow2 4 года назад +35

      @TOMÁS SOUSA AZOUGADO Green is 2, blue is 1, per balloon. You're correct about red, though.

    • @arah8998
      @arah8998 4 года назад +11

      But the puzzle isn't asking you to count the balloons. If that's the case, then 1 blue balloon + 1 red balloon * 1 green balloon = 2 total balloons. Each balloons have their own values according to their colour and string length. So it's totally fine if the answer is a decimal

    • @negokimolo3116
      @negokimolo3116 4 года назад +4

      notice @ARAH that there is no longer string but the the one balloon is placed abit higher than the other only thus making the one balloon string appear longer than the other meanwhile in actual fact they're the exact same lenght making Ryan's theory of inexistent balloon particles that are a results of rounded off really true

    • @fatimabatool9171
      @fatimabatool9171 4 года назад +5

      Btw 21.56 is rounded up to 22 so ya

    • @janami-dharmam
      @janami-dharmam 4 года назад

      @@arah8998 You can add or subtract balloons but how to multiply or divide (the decimal answer implies division) balloons?

  • @victoriaa.993
    @victoriaa.993 2 года назад +30

    I like how you have a different approach to these problems. Personally, I would have interpreted the opposite orientation of the blue and green balloons as an alternate visual distinction for students who are colourblind.

    • @dasvenson765
      @dasvenson765 2 года назад +5

      This is the real answer

    • @Prismatic_Truth
      @Prismatic_Truth 2 года назад +11

      But then surely the final equation would be completely indecipherable to the colorblind, rendering the prior visual distinction pointless.

  • @ianang8977
    @ianang8977 6 лет назад +160

    when you’re too toxic because your friend said answer was 21 and you said some other answer and you pin point every small detail to say he’s wrong...

  • @ajnabidhakal355
    @ajnabidhakal355 5 лет назад +2148

    I got 21 with simple algebra bro. Are u trying to make us mad?

    • @SHYAMSAIROYAL
      @SHYAMSAIROYAL 5 лет назад +51

      I accept your answer s that is correct

    • @Samuel-th6fw
      @Samuel-th6fw 5 лет назад +67

      Yes it is acceptable but it doesn't take a genius

    • @classicdoctors2531
      @classicdoctors2531 5 лет назад +40

      He said in the video that the problem states that you need to be a genius, to truly solve this. Therefore, the original creator of this problem probably had a hidden answer like an Easter egg in a game.

    • @billoddy5637
      @billoddy5637 5 лет назад +36

      He’s trying to make us click

    • @fluffdiamond9518
      @fluffdiamond9518 5 лет назад +24

      Wdym? It’s 42

  • @justintime2026
    @justintime2026 5 лет назад +521

    That was the most condescending "did you figure it out?" I've ever heard in my life

    • @GadBoDag
      @GadBoDag 5 лет назад +10

      You dummies... It's not condescending, and it's not "low-key" anything. It's high-key ridiculous on purpose. The whole video is tongue-in-cheek. It's a joke. He's taking the piss.

    • @spartankongcountry6799
      @spartankongcountry6799 5 лет назад

      @@GadBoDag For real.

    • @DarthTalon5
      @DarthTalon5 4 года назад +1

      @@GadBoDag Someone can simultaneously be taking the piss whilst also being a pretentious prick, both can be true.

  • @SalmonLamborghini
    @SalmonLamborghini 2 года назад +1

    You bring up the differences in ballon appearance as a part of the puzzle, which makes me ask, what are the values of the balloons supposed to represent? Mass? Volume? Helium? Knowing the answer to my question would allow me to determine if anything you say actually matters.

  • @albingrahn5576
    @albingrahn5576 6 лет назад +310

    My personal solution to this problem is based on the game Bloons Tower Defense, a game where you buy monkeys to help you pop waves of balloons, increasing your score and in-game money to buy more monkeys as the game gets increasingly more difficult. In BTD, if you pop a green balloon, it becomes blue. If you pop a blue balloon, it becomes red and if you pop a red balloon it disappears. This indicates that the red balloon in the equation always represents 1, blue is 2 and green is of a value of 3. Hence, with that information, we can conclude that the first two statements of the problem are simply false, and the answer to the question is 5 (2 + 1 * 3 = 5). There are probably a million different approaches to this problem but I find mine the most believable and most likely the intended solution.

    • @silverdragon2462
      @silverdragon2462 6 лет назад +24

      when u play too many video games

    • @martonnemeth236
      @martonnemeth236 6 лет назад +18

      OMG That is absolutely genius! You're right, bro.

    • @jamesramirez0408
      @jamesramirez0408 6 лет назад +5

      But there are 2 blue balloons when you pop a green balloon, and 1 red balloon inside a blue balloon, so inside a green balloon are 4 red balloons, but in your information, there are 1 balloon from 1 green balloon, so the right answer is 1+4*2 and the answer is 9... :)

    • @timothydemann4689
      @timothydemann4689 5 лет назад +4

      @@jamesramirez0408 only whites/blacks and higher sprout multiple bloons... Pink or less only goes down a color.

    • @decurry2766
      @decurry2766 5 лет назад

      BTD battles is teh best bloons

  • @Smouv
    @Smouv 4 года назад +773

    Didn't take into account the varying lengths of the 'arrows' under the balloons though 👀

    • @TallGeeese23
      @TallGeeese23 4 года назад +81

      I thought the same thing. If we’re over thinking this, arrow length should also come into consideration.

    • @troyterry6919
      @troyterry6919 4 года назад +57

      @@TallGeeese23 If the arrow length meant a different value, then the short green should be 1 and the long green should be 2. Meaning the final answer should be 31 instead of 21.

    • @YONVS
      @YONVS 4 года назад +13

      Troy Terry 31 would have been my answer to

    • @ser55555
      @ser55555 4 года назад +6

      @@troyterry6919 Why should the long one be equal to 2 and the short one be equal to 1?

    • @znox_x6165
      @znox_x6165 4 года назад +5

      @@troyterry6919 long one should be 3 bcoz 2 green balloons equal to 4

  • @carlandrecalingasan9463
    @carlandrecalingasan9463 3 года назад +1047

    This guy is the type of dude to use algebra and geometry to solve a simple arithmetic puzzle such as 1 + 1

    • @namelastnamefirst4520
      @namelastnamefirst4520 3 года назад +137

      Well dude, 2 is TOO easy of a solution (haha) so here is a more advanced way of solving it.
      Step 1: 1+1=x
      Step 2: 1=x-1
      Step 3: 1^2=(x-1)^2 so basically it's 1=(x-1)(x-1)
      Step 4: 1=x^2-2x+1
      Step 5: 0=x^2-2x+0
      Step 6: (−(−2)±√(−2)^2−4(1)(0)/2(1))=x
      Step 7: x=(2±2)/2
      Step 8: x=2, 0
      Therefore, 1+1 also equals 0.

    • @Ayanokiyo
      @Ayanokiyo 3 года назад +19

      @@namelastnamefirst4520 lmao😂

    • @badrobot3159
      @badrobot3159 3 года назад +4

      Google Bertrand Russell. He wrote an equation to prove 1+1=2

    • @mathskafunda4383
      @mathskafunda4383 3 года назад +2

      @@badrobot3159 Damn. How's that even possible!

    • @alexanderbolton
      @alexanderbolton 3 года назад +14

      @@namelastnamefirst4520 no its 11

  • @Jackler
    @Jackler 2 года назад +6

    This is going to confuse some people, but at first I instantly got 21, but then as you were putting all the balloons side by side (around 1:55) I changed my answer to 31, and I'll explain why
    As we have already got both green balloons as 2's and both blue ballons as 1's, I noticed one of the green balloons has a shorter string compared to every other balloon in the entire screen so I changed the green balloons to: longer string 3, shorter string 1 (It still comes out as 4, but it fixes the problem with the string as every other balloon has the exact same amount of string, even in the final equation) so it would turn into 1 + 10 x 3 (longer string)

    • @retroman2645
      @retroman2645 Год назад

      but you cant just assume that one is 3 and the other 1 the true answer we cant answer think of it as mathematically one is "a" and the other "b" they can be anything as long as a+b is 4 they can be 4 and 0 they can also be 2 and 2

    • @Jackler
      @Jackler Год назад

      @@retroman2645 Both the blue balloons have a longer string but still has one of them lower than the other so it's a fact that the green is 3 and 1.

    • @retroman2645
      @retroman2645 Год назад

      @@Jackler this has nothing to do with the blue balloons just because a =1 and b = 2 you cant just say it is that way and say c = 3 it doesnt matter what value other variables have each variable is independent

    • @Jackler
      @Jackler Год назад

      @@retroman2645 I'm not going to argue about this, this comment was a year ago, I don't care what you think it is, what I've stated is factual, not worth my time, and frankly, likely not worth yours either.

  • @SeventhSaucer
    @SeventhSaucer 5 лет назад +314

    “I believe this is the real answer to this puzzle.”
    No. The pairs of balloons could have been interpreted lots of different ways. Since they they are overlapping, perhaps they’re “really” Venn diagrams.

    • @gadlicht4627
      @gadlicht4627 5 лет назад +28

      My answer: system not well defined since thier lots of interpretation so anything goes

    • @VolksdeutscheSS
      @VolksdeutscheSS 5 лет назад +2

      Dude--you must be joking. Venn-diagram interpretation is a stretch.

    • @justanotherweirdo11
      @justanotherweirdo11 5 лет назад +16

      @@VolksdeutscheSS And this video isn't a stretch.

    • @xoxb2
      @xoxb2 4 года назад +18

      I don't remember him addressing the fact that the green arrows are different lengths, while the red and blue ones are not. I accept that he's stretching this too far, when really the trick is about what order do you do the operations in the last line(I got it wrong, and made 22!), but if we are looking for visual clues to varying values or functions, surely the arrow length would be part of it?

    • @omnikar5
      @omnikar5 4 года назад +3

      seventh saucer yeah like what if the values are based on the balloons supposed volume so 2 overlapping balloons have less volume than 2 separate balloons

  • @pupycron
    @pupycron 6 лет назад +337

    "Can I copy your homework?"
    "Sure, just change it a little bit so it won't be too obvious..."

    • @NikeAirJordans
      @NikeAirJordans 6 лет назад +1

      a baked potato I don’t get it

    • @bubblebubble1528
      @bubblebubble1528 6 лет назад +1

      ILike YellowSnow sane here

    • @kush9842
      @kush9842 6 лет назад +22

      @@bubblebubble1528 the guy changed the answer by overcomplicating it.

    • @akebengtsson1223
      @akebengtsson1223 5 лет назад +3

      Kush Nah he just assumed it had to be a harder solution than the simple maths needed to get 21.

  • @paulbook6034
    @paulbook6034 6 лет назад +447

    I think a reasonable assumption would be those 'arrows' are just knots in the balloons tie with a string.

    • @Tfin
      @Tfin 6 лет назад +8

      A reasonable assumption would be that if GreenGreen + GreenGreen was Green + Green + Green + Green, it would have been written as such, or as GreenGreenGreenGreen. Therefore there must be some significance to the grouping.

    • @oxey_
      @oxey_ 6 лет назад

      R3Testa GreenGreenGreenGreen would be Green^4

    • @JAYTEEAU
      @JAYTEEAU 6 лет назад

      +Paul Book Agreed 100%

    • @EmilMacko
      @EmilMacko 6 лет назад +5

      R3Testa
      Yeah, maybe that significance was merely to confuse people. Isn't that also a reasonable assumption?

    • @Tfin
      @Tfin 6 лет назад

      No, because the simpler art of this one makes the count of balloons clear, as opposed to earlier iterations that featured things like bunches of bananas with either 3 or 4 in the bunch. The only place this one, AS INTENDED, can confuse people is in the PEMDAS.

  • @friedeltreutlein7214
    @friedeltreutlein7214 6 месяцев назад +1

    You also could say, that the green balloons have different values, as in the blue pair, the strings on the bottom of the balloons have the same lenght while in the green pair they don't. You could also say, that the balloons in pairs have to be added, leaving the blue Balloons with value 1 and the green ones with infinitely many values. But I think this is just a mistake and should be discarded, as this would leave the equation with infinitely many solutions anyways.

  • @Continuum2077
    @Continuum2077 6 лет назад +337

    The colored balloons are simply a visual representation of a set quantity. Therefore, if you want to be detail oriented with this problem you cannot equate the pair of green balloons to x left-superscript of x at 3:50. This is because the green balloons are not visually identical. Unlike the blue balloons, the 'arrows' under the green balloons are of different lengths, which makes each green balloon unequal in value.

    • @wolfVFV
      @wolfVFV 6 лет назад +5

      So You say The answer is Not a single number?

    • @Continuum2077
      @Continuum2077 6 лет назад +54

      If you take into account the visual details of each balloon when trying to solve this problem, then there are many valid answers. Therefore, I do not believe the problem was meant to be solved this way. I believe the problem is as straightforward as it seems and the answer is simply 21.

    • @wolfVFV
      @wolfVFV 6 лет назад +5

      They are Infinite many answers if You Take the Arrow length into Account
      2= y^y^y... For ANY number of y is solvable (i think)
      So "Green ballon normal Arrow" = [1,inf)

    • @ubern3rd
      @ubern3rd 6 лет назад +9

      I would like to add to this. It could be considered overthinking the problem. When you tie up a balloon, you have a cone, which in 2d notation could be a triangle or a circle. Since we're looking at the balloon from the side and not the opening, it would be a triange. It is just as reasonable to say that they are balloons tied by a string, likely.
      Also, when he references 'They' in the phrase, "They say it takes a genius to solve this", what 'They' is he referring to? The only thing that comes to my mind is other youtube videos where you don't have to be a genius, just attentive.
      I'm not putting down his solution at all though, it's clever and can be seen in that way. I personally just don't think that to be the case.

    • @yvessioui2716
      @yvessioui2716 6 лет назад +11

      To add a little rictus to your smile, why not take into account the colors, through their wavelenght or frequency? I agree with you about appearance that can be misinterpreted and only there as visual reference. Why not count the dots/square millimeter to assess 'a' number here.

  • @mchlsalas
    @mchlsalas 4 года назад +416

    "The definition of genius is taking the complex and making it simple." -Albert Einstein

    • @christianfigueroa2850
      @christianfigueroa2850 4 года назад +60

      He did the opposite lol

    • @seba2758
      @seba2758 4 года назад +6

      Yeah like hid did the opposite

    • @genghis3781
      @genghis3781 4 года назад +3

      Amen brother

    • @geekygamer3954
      @geekygamer3954 4 года назад +4

      Actually he made it more simple.

    • @geekygamer3954
      @geekygamer3954 4 года назад +1

      I understand it completely! Black hole physics makes perfect sense!

  • @stevieboi3319
    @stevieboi3319 4 года назад +157

    "Any intelligent fool and make things big and complex, it takes a touch of genius and a touch of courage to go in the opposite direction"
    -Albert Einstein
    So technically, those who said 21 ARE the geniuses

    • @tusharkantimalakar4848
      @tusharkantimalakar4848 3 года назад +4

      Exactly 👍 .... On the contrary Concept of being genius is not to make things complicated

    • @tamadesthi156
      @tamadesthi156 3 года назад +1

      not necessary, the simplest answer is: can't be solved. We can't interpret the one blue ballon symbol as half as big as the symbol of two blue ballons, by this logic 1 would be interpreted as half as big as 11

    • @NinjaRunningWild
      @NinjaRunningWild 2 года назад +1

      Can* but yes.

  • @vk4289
    @vk4289 2 года назад +1

    Definition of a genius is not someone who has learnt more or knows more stuff. It’s about logical thinking. So just because they’ve mentioned “only geniuses can solve this” doesn’t mean “only people who know advanced mathematics can solve this”

  • @mobilegameplaywalkthroughs990
    @mobilegameplaywalkthroughs990 3 года назад +225

    How to tell you are overthinking it: notice how many OTHER visual elements you didn't conclude were part of the puzzle. For example:
    - the hue, saturation and luminosity values of the balloon colours
    - the direction of the apparent light source causing the glow on the surface of the balloons
    - the ovular balloon shape
    - various aspects of the little triangle-shaped balloon necks (including position, point on the balloon's surface at which they "point", the angles of the corners, the side lengths)
    - various aspects of the string thickness (including length, slope, position)
    - the fact that the triangle-shaped neck is embedded deeper into the blue balloons than the red and green ones
    - ... etc.

    • @EMLtheViewer
      @EMLtheViewer 2 года назад +24

      I solved the puzzle based on the thumbnail (21, what a surprise /s), and as soon as I saw him taking the relative positions of the balloons to indicate exponents, I realized that this was a cheap trick and promptly rolled my eyes.

    • @ahm911
      @ahm911 2 года назад +7

      also arrow length

    • @edgewatersbestguitarist1524
      @edgewatersbestguitarist1524 2 года назад +12

      Don't forget the helium density in the balloons too

    • @EMLtheViewer
      @EMLtheViewer 2 года назад +4

      @@edgewatersbestguitarist1524 And what if they contained hydrogen instead?

    • @edgewatersbestguitarist1524
      @edgewatersbestguitarist1524 2 года назад +7

      @@EMLtheViewer lol then I guess we'd just have to forget about solving any probable equations and throw matches at the balloons for fun instead

  • @Eri_Ya
    @Eri_Ya 4 года назад +318

    Damn, he literally just taking "If there's a harder way, then why choose the easier one?" Way too far.

    • @villagersupremacy5594
      @villagersupremacy5594 3 года назад

      Facts

    • @ralfsteiner7751
      @ralfsteiner7751 3 года назад +3

      He chose the simplest and the most complicated ones. The obvious solution though is 31. The two green balloons have different string lengths. If they sum up to 4, one is 3 the other 1. In the last equation the longer string green balloon is used (3). Do the math and the result is 31.

    • @tjseagrove
      @tjseagrove 3 года назад

      Different ways to approach a problem stretches the mind. The world does not lay out the problems in a logical manner and working through from a different perspective teaches the brain to think and not just to follow a formula.

    • @vivianm1851
      @vivianm1851 3 года назад

      I mean I think it isn't wrong to point out that there could be many answers given the ambiguity of the "problem" it would be as easy as saying
      3a=30
      a+2b=18
      c-b=2
      C+a*B=?
      technically C and B are only mentioned in the final question and thus the answer is actually not enough information, but we assume F(C)=2c and F(B)=2b but we never are actually told that in any concrete way.

    • @theonewiththeeyeoftruth884
      @theonewiththeeyeoftruth884 3 года назад

      @@ralfsteiner7751 Works (a little) if you choose to go that route. 21 is another correct answer.

  • @christoferribeiro9734
    @christoferribeiro9734 5 лет назад +497

    Pi = 3,14
    g = 9,81
    This problem = 21

    • @anamuslimah-7658
      @anamuslimah-7658 5 лет назад +7

      No one in the world is perfect.

    • @学习频道-e8z
      @学习频道-e8z 5 лет назад +4

      C=2.99×10⁸
      e=1.9×10‐¹⁹

    • @Vladon32
      @Vladon32 5 лет назад +5

      Pi is not exactly 3,14.

    • @twanplays4837
      @twanplays4837 5 лет назад +8

      @@Vladon32 same goes for g as g is An average on earth and not a constant numner

    • @Vladon32
      @Vladon32 5 лет назад +1

      TwanPlays yes, you’re right.

  • @DanielSalais-fl1js
    @DanielSalais-fl1js Год назад +2

    Presh, my name is Daniel. I'm a big fan of your channel. When I do have some free time, I make it a point to watch a few of your videos. I must say that I'm more than singularly impressed with your problem solving ability. You know,, in the past, I thought that I was a math sage of sorts. But you sir are truly gifted. How can I learn more about the Lambert function?

  • @eminkilicaslan8945
    @eminkilicaslan8945 4 года назад +557

    That sounds like 21 with extra steps.

  • @awesomewrecker0
    @awesomewrecker0 4 года назад +146

    Me 10 mins ago: 2:44 oh I was right, I even did it in my head.......why is there 6 mins left in the video

  • @gdal6961
    @gdal6961 5 лет назад +164

    Me:It’s 21!
    “Clicks on video”
    *myself has left the chat*

    • @Toskrr
      @Toskrr 5 лет назад +4

      GD Al = I also got 21, and this genius is overthinking it.

    • @DarthTalon5
      @DarthTalon5 4 года назад +1

      @@Toskrr "Genius"

  • @jemmerx
    @jemmerx 2 года назад +1

    This has been mentioned before but the green balloons have arrows of different lengths, and in the final equation, the longer arrow is used. Even more interesting though is that the red balloon has a shorter arrow than those of the the blue balloons and the longer of the green balloons (which are of equal length), but longer than the shorter green arrow.
    It is a bit of a stretch though to think that all these details are important, or any of the ones brought up here. There is really no reason to think that this isn't just a simple substitution puzzle. I think the aspect of this puzzle that requires "genius" is the order of operations and is likely what was expected to trip up would be solvers.

  • @godsdemons2421
    @godsdemons2421 6 лет назад +512

    Actually, a TRUE genius, would realize that the balloons were buy one get one free, and that the arrows are just the knots the balloons are tied in. This results in 2 green balloons being 4, but also one green balloon is 4 as well. 2 blue balloons are 2, and 1 is as well.
    So the REAL answer is 42. Checkmate walker.

    • @egillandersson1780
      @egillandersson1780 6 лет назад +41

      Yes ! Everyone knows that 42 is THE answer ;-)

    • @nexio8324
      @nexio8324 6 лет назад +83

      Actually, the final value is 0 because it's free balloon day

    • @Ddotkay
      @Ddotkay 5 лет назад +11

      Get REKT Presh!

    • @dickurkel6910
      @dickurkel6910 5 лет назад +8

      @@Ddotkay yeah, get rekt preshtawalakelar

    • @yooniverse1882
      @yooniverse1882 5 лет назад +3

      Trueeee

  • @tervalas
    @tervalas 4 года назад +299

    These kinds of questions go 'viral' because they say it takes a genius. Not that it really does. Because you'll still get people that will swear that the answer is 22.

    • @justincoleman3805
      @justincoleman3805 3 года назад +3

      So because some people get it wrong means it doesn’t take a genius? Or that there are more than one wrong answer? Are you trying to say that you got 22 and still think you’re a genius?

    • @Ghorda9
      @Ghorda9 3 года назад +1

      @@justincoleman3805 the people who get it wrong are ones that didn't pay enough attention to the visual details.

    • @YSFmemories
      @YSFmemories 3 года назад +5

      but 21.56 rounds to 22

    • @Ghorda9
      @Ghorda9 3 года назад +13

      @@YSFmemories except that there is no decimal to begin with, this guy just overcomplicated it to the point of seeing things that's not even there.

    • @YSFmemories
      @YSFmemories 3 года назад +1

      @@Ghorda9 well, what is 3 divided by 4? There is no decimal to begin with in that equation.

  • @knightsfyre
    @knightsfyre 3 года назад +430

    By order of operations, the solution would be 21 [1+(10x2)]
    - If you ignore order of operations and apply straight left-to-right solving, it would be 22 [1 + 10 = 11, x 2 = 22]
    - If you apply "higher-level" mathematics with the Lambert W function, you arrive at a solution of ~21.56.
    Having two or more possible solutions implies some level of indeterminacy -- that we can't know with certainty that we are taking all possible variables into account. Therefore, it is best to apply all three solutions and establish that in this case, the answer is a range of results where any value between 21 and 22 may be correct.
    However, if we likewise apply the Occam's Razor principle (when presented with competing hypotheses about the same prediction, one should select the solution with the fewest assumptions -- basically, "the simplest solution is usually the best one"), you'd arrive at the simplest logical solution being that the answer is 21.
    Which is a fancy way of saying that if you came up with any answer other than 21, you're overthinking it. KISS.

    • @skratnala9793
      @skratnala9793 3 года назад +3

      Wow

    • @Mail_Liam
      @Mail_Liam 3 года назад +14

      That is over thinking it

    • @shreshthjaiswal1966
      @shreshthjaiswal1966 3 года назад +6

      Hypothesis for same prediction. Not for different predictions (21 and 21.56). It is not same as choose simplest explanation. It is choose simplest explanation if both explanation are for same result.

    • @xXJ4FARGAMERXx
      @xXJ4FARGAMERXx 2 года назад +3

      @@shreshthjaiswal1966 yeah I was like "WHAT?! so you're telling me that you can just ignore a complicated answer based on your own biases of what complicated is??"

    • @crizzonet
      @crizzonet 2 года назад +4

      21.56 rounded up is 22.

  • @runenorderhaug7646
    @runenorderhaug7646 2 года назад +6

    I liked your fun thinking. Though I eventually went for the 21 direction I originally was also thinking it was potentiolly gonna be a bit of a troll logic puzzle since technically only red is directily correlated. One could argue that there is just as much reasoning for blue to be 1 simply because that was the previous number in its connected supposed sequence for example or maybe blue represents something completely unconnected to what 2 blue represents. Even our assumption that 2 blue and 1 blue is something of a bias in puzzles like this

  • @johnnyq1233
    @johnnyq1233 5 лет назад +182

    You forgot to include the quantum equivalence of the volume in those baloons!

    • @YuvrajSingh-yp5km
      @YuvrajSingh-yp5km 5 лет назад +26

      We also have to include time-space continuum and account for string theory..

    • @OganySupreme
      @OganySupreme 5 лет назад +18

      You also have to keep in mind the air density difference between the balloons, and the rotational and translational speed of the planet, the solar system, the Galaxy, and even the universe (in conjunction with the multiverse theory).

    • @ManuSankaran2410
      @ManuSankaran2410 5 лет назад +8

      And you also need to take the Coriolis effect into account.

    • @OganySupreme
      @OganySupreme 5 лет назад +9

      @@ManuSankaran2410 What about Time Dilation?

    • @EpicBananaGlasses
      @EpicBananaGlasses 5 лет назад +10

      This is the best passive aggressive comment about his way of solving this.

  • @RodBrites
    @RodBrites 3 года назад +213

    For this one I had a different approach... I noticed that the lengths of the strings in the pairs are different... so assuming we are working only with integer numbers, I could argue that the greens are 3 and 1 (based on each length) - notice that the other pair (blue) has same strings lenghts. As the final equation uses the one with the longe string, I would say the final answer could be: 31

    • @ritviksharma4914
      @ritviksharma4914 3 года назад +12

      Same. I noticed the arrows’ length difference and did the same thing too and got 31 as the answer

    • @mrcrackhead1264
      @mrcrackhead1264 3 года назад +5

      @@ritviksharma4914 NOT arrows, strings

    • @Uyhn26
      @Uyhn26 2 года назад +6

      I had a similar approach, but I got stuck on when short stringed green balloon has same value as a blue balloon, not sure if that’s allowed. So I had no answer as there are no more info to specify exactly how the lengths indicate the values.

    • @jppcasey
      @jppcasey 2 года назад +3

      @@Uyhn26 Good point.

    • @geoffreypiltz271
      @geoffreypiltz271 2 года назад +2

      The red string is shorter than the long strings on the green and blue balloons. Surely that out to be taken into account too?

  • @rajaelrajon
    @rajaelrajon 3 года назад +428

    You did not take into account the length of the cords, the green balloons has differents lengths, that most mean something 😀

    • @snap-off5383
      @snap-off5383 3 года назад +11

      Yes those are vectors! Nothing is given in a problem unless it says it is given, or its given. Speculation isn't math.

    • @ETBrooD
      @ETBrooD 3 года назад +30

      ​@@snap-off5383 If speculation isn't math (to which I'd agree), then it would be speculative to say that all ballons of the same color must share the same value. Likewise it would be speculative to say that all balloons of different colors must not share the same value.
      If you ignore certain differences but not others, then you're assuming that some differences matter while others don't. That would be speculation and therefore not math.
      Therefore it would be speculative to say that color matters but shape or position doesn't.
      One could say that this puzzle is unsolvable because there's nothing indicating that the same values must be assigned to the same visuals, or that different values must be assigned to different visuals.
      In fact one could go even further and claim that none of the balloons can be considered equal because their sequence could also effect their values. Nothing indicates that a different sequence would not mean a different value.
      So I'd argue the puzzle is in fact unsolvable using the available information.

    • @snap-off5383
      @snap-off5383 3 года назад +16

      @@ETBrooD I'm just going to say: Golf clap. First logical ass kicking I've received in a long time, although I will use the sad excuse of "wasn't trying hard". High five.

    • @ETBrooD
      @ETBrooD 3 года назад +8

      @@snap-off5383 Haha dw I'm not usually trying that hard either so I'll say it's a very valid excuse to protect my own ego as well :P

    • @minethulhufhtagn7239
      @minethulhufhtagn7239 3 года назад +4

      Just watched this video and had the same observation. I also must admit the sub-positioning and super-positioning didn't occur to me, but I did get as far as wondering if balloons side by side indicated addition, multiplication or perhaps something else.

  • @HarschSounds
    @HarschSounds 2 года назад

    One more visual clue to complicate things: The length of the string is not the same for all balloons.
    If you incorporate THAT information, you can get yet another "correct" answer with high school level math.
    Red Balloon always has string length 'a;, Green has one balloon with string length 'b' and one string length 'c'; Blue has 2 balloons both with string length 'b' (same as Green in bottom line of original puzzle; Red is shorter ). In comparison, c

  • @eomith759
    @eomith759 5 лет назад +239

    The definition of "well yes, but actually no"

  • @jedidethfreak
    @jedidethfreak 3 года назад +93

    >"don't tell me to not overthink the problem"
    >proceeds to overthink what a meme is in order to make an argument that he's not overthinking it, while also literally ignoring the fact that a balloon has a knot

    • @hesterroemersma9896
      @hesterroemersma9896 3 года назад +2

      The narrator is going to overthink your comment and say that there is no knot visible, just the flap of the balloon.
      Sorry I had to 😛

  • @iamyoda7917
    @iamyoda7917 6 лет назад +83

    *It is the 8th time for this type of puzzle on this channel.* There is a long and a short string for green balloons. How can a genius miss such an important visual clue?

    • @broes
      @broes 6 лет назад +1

      WiseOldDude
      Exactly what I thought. His answer was just bs

    • @chidinduuwaeziozi7360
      @chidinduuwaeziozi7360 6 лет назад +1

      For sure!
      I have been tinkering on what that visual difference might be

    • @kikydjokos
      @kikydjokos 6 лет назад +2

      WiseOldDude agree, i concern about the string length more than the balloons height position

    • @jyotishree670
      @jyotishree670 6 лет назад +1

      exactly

  • @lucacason1597
    @lucacason1597 2 года назад +1

    Video summary:
    •3 red= 30 => 1 red= 10
    •1 red and 4 green= 18 => 4 green=8 => 1 green= 2
    • 2green- 2 blue=2 => 2 blue=2 => 1 blue=1
    • blue+(red×green)= 1+(10×2)= 1+20= 21

  • @Kaixo
    @Kaixo 6 лет назад +956

    There is something called "Overthinking" and I think you just did that...

    • @MrTomkat030
      @MrTomkat030 6 лет назад +4

      Yep

    • @Holdegron3
      @Holdegron3 6 лет назад +30

      Kaixo did you watch the video at all? Go to the 3:30 ...

    • @mikezhang2602
      @mikezhang2602 6 лет назад +3

      Holdegron3 Presh is just bored and this is very likely a joke or a way to get views

    • @kitararosha1011
      @kitararosha1011 6 лет назад +1

      I had it solved within 15 seconds

    • @donepudiaditya8236
      @donepudiaditya8236 6 лет назад

      Yep

  • @daveofyorkshire301
    @daveofyorkshire301 3 года назад +238

    The best example of a mountain out of a mole hill I have ever seen...

    • @rhmayer1
      @rhmayer1 3 года назад +9

      Obviously, when we follow common sense. But that mole hill has crucial significance in some cases. An error of analysis like this could be the difference between life and death for an astronaut, for example. But I do think the narrator went too far in this instance. If the question truly was intended to include the Lambert function/etc. then I doubt it would have used balloon cartoons. It would've depicted some other, better, symbology.

    • @piman9280
      @piman9280 3 года назад

      ..... or the Universe out of nothing!

    • @teeemm9456
      @teeemm9456 2 года назад

      @@rhmayer1 It's funny that you make a logical conclusion after saying it's common sense, thereby nullifying that it is common sense.

    • @rhmayer1
      @rhmayer1 2 года назад

      @@teeemm9456 You've misinterpreted my use of "common sense." My use of "common sense" was in reference to whether or not the question involved/required the use of the higher math solution presented in the video. I was arguing that common sense would dictate that the higher math solution was not necessary or implied to be required. Common sense suggests that pictures of balloon cartoons suggests simplicity. Complexity, denoting an implied requirement of higher math, would use a different symbology to portray the problem - something less ambiguous as balloons, where the "arrow" could easily (and IS) interpreted by most as strings to the balloons, with the arrowhead interpreted as the tied off bottom of the balloon. It is that arrowhead/tied off balloon that creates the ambiguity, and therefore since not specific in it's higher match symbology (which I would believe show a small space between the tip of the arrowhead and the bottom of the "balloon" to distinguish it as an arrowhead and not the string of the balloon) it is more appropriate to interpret the depiction with the "common sense" interpretation of balloons and strings rather than spheres with arrows.
      Perhaps more to your point, I don't think that common sense and logic are mutually exclusive. In fact, I think intuitive logic is used as the basis for common sense in perhaps many examples of common sense.

    • @teeemm9456
      @teeemm9456 2 года назад +1

      @@rhmayer1 Regardless, math is still a learned subject. Common sense is tired phrase we should probably remove from vernacular because it fails to represent actual meaning and is used mostly to attack.
      Common sense implies an assumed majority level of conformity for judgement or sense. It often gets confused for simple logic. I understand what you're saying but I still think it should be retired from use.

  • @username17234
    @username17234 6 лет назад +127

    You didn't take into account the length of the strings.

    • @Toskrr
      @Toskrr 5 лет назад +5

      Eduardo - Who are you talking to? And we don’t know the lengths of the strings, so why take it into account? This is silly.

    • @blablq6472
      @blablq6472 5 лет назад +2

      @Abu Mansaray So I'm not the only one noticed

  • @Killswitchpulla
    @Killswitchpulla 2 года назад +1

    you forgot to incorporate the wavelength of the color of the balloon as well as the area of the triangle on the arrow divided by the circumference of the balloon to the power of the length of the string that hangs from the balloon on a Wednesday during a full moon during the year of the tiger from the chinese calendar falling in a leap year

  • @Rainbow_Neos1
    @Rainbow_Neos1 4 года назад +164

    When my friends tell me I over complicate, I'm sending them here.

    • @tomsterbg8130
      @tomsterbg8130 4 года назад +1

      Math is not about overcomplicating, it's about accuracy

    • @Rainbow_Neos1
      @Rainbow_Neos1 4 года назад +9

      @@tomsterbg8130 The point I'm making is I solved this in a much simpler manner, and got an answer that 99.99% of the population would accept. My way took about a minute.
      3 red = 30. 1 red is 10.
      1 red plus 4 green = 18. 18 -10=8. 8 ÷ 4 green. 1 green=2.
      2 green - 2 blue = 2. 2 green =4. 4-x=2 makes x=2. So 2 blue ballons is 2, so 1 is 1.
      Now do 1 + 10 × 2. You get 21. Anyone can do that. This guy over complicated it. It's almost laughable. It's like the one guy who overcomplicates unnecessary things by applying laws with big names all to impress people. He's the "Um, actually" meme taken to a whole new level. In what average world does 4 - 3.12 = 2? Lol.

    • @-ClerzZ-
      @-ClerzZ- 4 года назад +3

      @@Rainbow_Neos1 yeah, he tries to act smart, but his working out is completely incorrect. If you put three numbers in a place for each colour and each each equation is correct, then we are correct, not him.

    • @EL-gz5tq
      @EL-gz5tq 3 года назад

      @@Rainbow_Neos1 It's not 1.56×2 in his solution. He uses y^y so it is 1.56^1.56 and this is equal to 2

    • @Rainbow_Neos1
      @Rainbow_Neos1 3 года назад

      @@EL-gz5tq By that logic, each balloon does not have an equal value and is instead dependant upon the number there. That's ridiculous and not logical. One balloon is one balloon regardless of it there is another.

  • @sarveshsingh8781
    @sarveshsingh8781 6 лет назад +556

    I got 21

    • @ks14793
      @ks14793 6 лет назад +24

      Unknown Gamer Thanks. Thought I was the only one!

    • @rondox9787
      @rondox9787 6 лет назад +14

      I must remind you that 11 x 2 is 22.

    • @ks14793
      @ks14793 6 лет назад +240

      Vincent Amdjadi Multiplication happens before addition :)

    • @nerdkernels3398
      @nerdkernels3398 6 лет назад +2

      Same

    • @sarveshsingh8781
      @sarveshsingh8781 6 лет назад +2

      Vincent Amdjadi nah

  • @QoraxAudio
    @QoraxAudio 3 года назад +36

    Pairs of balloons without operators in between can also implicate a multiplication, meaning that green is the root of 4 (gives 2) and blue is the root of 2 (gives ~1.41)
    Which means you get ~21.41

    • @hydrochloridrix
      @hydrochloridrix 3 года назад +1

      Yes! That was my first answer, too. And 21 my second answer because I thought: nah, that’s too nerdy 🤓

    • @phantomJK
      @phantomJK 3 года назад

      also what I was thinking

    • @ktursts4088
      @ktursts4088 3 года назад

      exactly

  • @shokxtv4807
    @shokxtv4807 2 года назад +2

    i dont think anyone picked up but technically you can get -20 and -21 saying that the green balloon can be -2 and the blue balloon can be -1

  • @silversurfer8818
    @silversurfer8818 6 лет назад +119

    The string length under the balloons could also carry some significance, the green balloons have two different string sizes, long and short - The long string can have the value of 3 and short being 1. Which still fits the 2nd row calculations (10+(3+1)+(3+1)= 18. Therefore by looking at the last row it would be 1+(10*3) = *31* Because the green balloon on the last equation has a long string, its worth 3.

    • @TheGamerAdventurersX
      @TheGamerAdventurersX 6 лет назад +2

      Silversurfer fair, good eye

    • @wwoods66
      @wwoods66 6 лет назад +8

      I saw this possibility.
      And I noticed the differing slopes, but while x^x had obvious meaning,
      x_x didn't (x[arrow][arrow]x _never_ would have occurred to me).
      If a problem can have so many valid answers, is it a good problem?

    • @Koisheep
      @Koisheep 6 лет назад +12

      What if the original intention was to cause a debate and not to write a well-defined problem

    • @t-cc3377
      @t-cc3377 6 лет назад +2

      Silversurfer then, you should figure out a better way to assign weights. However, I agree that the length of the rope should be considered. Of course, it changes completely the problem.

    • @raymondthebrotherofperryma1403
      @raymondthebrotherofperryma1403 6 лет назад

      Silversurfer ikr!

  • @RotationVII
    @RotationVII 5 лет назад +288

    I got 21 before even clicking on it now lets see
    *close enough*

  • @distantpeopleperson
    @distantpeopleperson 5 лет назад +83

    Everytime you ask "did you figured it out" a little piece of my self-confidence disappears...

  • @AnonymousApexio
    @AnonymousApexio 2 года назад +1

    The answer is 21 cause 1 blue balloon is 1, one red balloon is 10 and one green balloon is 2 and since we know that the priority goes to the multiplication instead of the addition, it goes 10*2+1 which gives you 21.

    • @AnonymousApexio
      @AnonymousApexio 2 года назад +1

      And the thing is, a genius is someone with over 140 IQ right? I have 135, but this is like logical, I did it in less then 15 seconds, now I don't know how it would be from the perspective of someone with let's say 100 IQ right but I'm pretty sure that anyone that has learned normal math can do this.

  • @savage1267
    @savage1267 6 лет назад +40

    3:48 I honestly thought you'd mention the "shorter string" on the right-side green balloon, compared to all the other balloons…

  • @mitccoo
    @mitccoo 3 года назад +119

    Judging by the most common answers to “intellectual” riddles like this one, I would assume the “genius” part merely refers to the mysterious Order Of Operations. This is seemingly a macabre rocket science theory many flat-earthers deny existing.

    • @Goldenhawk583
      @Goldenhawk583 3 года назад +1

      you mean the rocket science that claims that: In a vacuum, with no outside force active, if you are inside a tube, and push against the inside of the tube, the tube will move in the opposite direction of the push ?

    • @oodogla
      @oodogla 2 года назад +3

      @@Goldenhawk583 no, the tube would move in the same direction that you pushed

    • @Goldenhawk583
      @Goldenhawk583 2 года назад

      @@oodogla but in space, with no air, there is nothing to push against, and if you have nothing to push against, you aint going nowhere.
      there is also no air for the flames they show , so.. no flames possible.

    • @deathcraftftw2924
      @deathcraftftw2924 2 года назад

      @@Goldenhawk583 i think theres a misunderstanding in your first comment, you said "inside of the tube" which i would think means your pushing the tube itself but what youre describing seems to imply you are simply moving in the space inside of the tube without touching the actual tube. (i havent actually heard of this whole moving thing before and just assumed based off context clues so i might be wrong)

    • @Goldenhawk583
      @Goldenhawk583 2 года назад

      @@deathcraftftw2924 My point is simply.. No matter how intense and powerful a blast out the backend of a rocket is designed to be.. If there is nothing ( like air), to feed the flames , it will not really make a blast. And if it is fed air in the tube and does blast.. if there is no air to push against EITH said blast.. the rocket wont move.
      Apprently they claim to make their own barrier inside the bast tupe, for tha blast to push against, to move the rocket.. which makes no sense at all.

  • @ScarletEmber64
    @ScarletEmber64 3 года назад +359

    that's a really interesting take, and I definitely enjoyed listening to you explaining it, but those online "only geniuses can solve this" puzzles are usually pretty simple, so I still think it's just 21, but your answer is definitely also a possibility

    • @crazycatlady39
      @crazycatlady39 3 года назад +17

      Yeah, they usually just say that ‘You have to be a genius’ as a challenge to get you to do their puzzles.

    • @ridacaramia2616
      @ridacaramia2616 3 года назад +8

      Few confusing facts about this theory..
      1. The answer for third statement where;
      2(green balloon)-2(blue balloon)=2
      2(2)-2(1.56)=4-3.12=0.88 not equal to 2
      so either both blue balloons or both green balloons CANNOT have the same value to make his statement true..however both blue balloons have same length of rope citing equal value and he confidently state that green balloon=2 with his theory..
      2. He didn't count the long and short rope of the green balloon. IF his answer for the blue balloon is right,then the green balloons got to have different value each..how to calculate them then?
      3. If both green balloons have different value,while blue balloons got same value both,then for the question,which green balloon did the question need and how to differentiate one over the other is we were shown only one of each balloon?

    • @thomasp506
      @thomasp506 2 года назад +8

      It's true. The answer is 21 and that's the end of it. By "can you figure it out?" he really means "can you make it up?"

    • @TotallyNotSena
      @TotallyNotSena 2 года назад +2

      @@bob1117 Lol calling this good entertainment is pretty generous. i like math but this guy is literally just overthinking a simple problem for no apparent reason, at least for me that's frustrating.

    • @salonii6345
      @salonii6345 2 года назад

      defo

  • @matttan6185
    @matttan6185 2 года назад +1

    I got 21.4142. I interpreted the pair of balloons as a multiplication of 2 numbers which I think is common in maths. In that case the single balloons are the square root (SQRT) of the value of the pair. Green is SQRT(4) = 2. Blue is SQRT(2) = 1.4142… Follow order of operations and answer is 21.4142.

  • @richtomek7968
    @richtomek7968 3 года назад +156

    I imagine this guy being a cashier from the supermarket and getting fired asking the manager how you ring up a balloon to the power of another balloon

    • @vaughnjohnson8767
      @vaughnjohnson8767 3 года назад +3

      Yeah lol

    • @Johnny.Fedora
      @Johnny.Fedora 3 года назад

      It depends. Would this be an actual supermarket in your school-free community, or would it be a theoretical supermarket in a grad-level quiz given to you at a university math department? Shouldn't you be watching cat videos?

  • @morganjohansson2981
    @morganjohansson2981 3 года назад +416

    He missed that the green baloons arrows has different lenght. Wrap your head around that genius.

  • @pedramk1
    @pedramk1 6 лет назад +57

    If you going to the length of considering visual interpretation of arrows to involve W function, why not consider the difference in length of arrows? Could that also mean something?

    • @SteamPunkLV
      @SteamPunkLV 6 лет назад +1

      😂

    • @typo691
      @typo691 6 лет назад +1

      how would you measure them though?

    • @yvessioui2716
      @yvessioui2716 6 лет назад +3

      counting pixels, measuring it in mm on the screen or on a printscreen...

    • @yvessioui2716
      @yvessioui2716 6 лет назад +3

      And why not take into account the wavelenght of the colors? I agree with you but I did put in this a little more than you only because that defines me, inquisitive and shitty.

    • @Scorpionwacom
      @Scorpionwacom 6 лет назад +5

      3D-artist here. What if those arrows are vectors, and we should consider not just the velocity, but also the kinetic energy of each balloon!

  • @CharlesSmith-io9fp
    @CharlesSmith-io9fp 2 года назад +10

    Seeing as how it's been 54 years since I graduated, I had forgotten a few details. Figuring out red, green and blue was pretty straight forward, we never studied that fancy stuff he shows. So red was ten, green was 2 and blue equaled 1. I added 1 + 10 to get ll x 2 = 22 then he says you do the multiplication first then add the 1 so 1 + 10 x 2 = 1 + 20 = 21. The way he did the math the answer is 21.56. Seeing as how I got 22 the first time and 21 the second time, I add them together then divide by 2 giving 21.5 . And that's close enough for government work. Case closed.

    • @firstclaw1
      @firstclaw1 2 года назад +1

      In fact I first thought he might interpret 3 balloons next to each other as being multiplied instead of added, so the single balloon would be sqrt of the double balloon. That solution with about 21.41 would be quite close to the interpretation of Presh.

    • @palams7861
      @palams7861 2 года назад +2

      “Close enough for government work”.
      Let’s be real: that’s TOO accurate for government work.

  • @scmrecords
    @scmrecords 4 года назад +74

    How can i make a simple math problem complicated?
    MindYourdecisions: yes

  • @DocIdaho
    @DocIdaho 5 лет назад +80

    "they" also say "only 7 percent of people" can answer 2nd grade trivia.....

    • @scepto43
      @scepto43 4 года назад +5

      "99% can't solve this genius problem"

    • @GoldenFreddy-py7kz
      @GoldenFreddy-py7kz 4 года назад

      @@scepto43 Mom: *Solves it in 0.0000002 seconds*
      Dad: *4 Hours and half to solve the puzzle*

  • @maxcovington273
    @maxcovington273 4 года назад +230

    This isn’t a puzzle. This is a conspiracy theory. By doing systems of equations, the answers is clearly 21

    • @Merigold83
      @Merigold83 4 года назад +8

      And that's half the truth…

    • @xr55
      @xr55 4 года назад +10

      @@Merigold83 Nah.. half would be 10.5. 😂😂😂😂

    • @AndrewAMartin
      @AndrewAMartin 4 года назад +20

      @@xr55 no, 21 is half of 42, the answer to the ultimate question of life, the universe, and everything...

    • @BlacksmithTWD
      @BlacksmithTWD 4 года назад +2

      @@AndrewAMartin
      golden

    • @Owen_loves_Butters
      @Owen_loves_Butters 4 года назад +1

      @@AndrewAMartin How many peanuts are in my peanut jar?

  • @internetanalyst8166
    @internetanalyst8166 2 года назад +2

    I've got a challenge for MYD:
    Find the answer of 1 + 1 = ?. keep in mind that you have to use all available information and details in order to solve this. And btw only a genius can solve this one :)

    • @AyushSingh-ki2xt
      @AyushSingh-ki2xt 2 года назад

      I want to try it
      So
      1+1=x
      We can write this as:
      1=x-1
      We know the value of 1 which is x-1
      So the next equation can be written like this:
      x-1+x-1=x
      This can be written like this:
      -1-1+x(1+1)=x
      -2+2x=x
      -2=x-2x
      -2=-x
      Remove the - and now we have the answer which is 2

  • @darcybrummett7004
    @darcybrummett7004 3 года назад +23

    3:14 I see the “arrows” as strings with the tiny triangles being the part of the balloon that’s tied by the string.

    • @maxyfry6295
      @maxyfry6295 3 года назад +2

      I'm pretty sure thats the point

    • @dyollrepooh8477
      @dyollrepooh8477 2 года назад +1

      After looking at many comments and replies - I was pleased to finally find someone who saw the "arrows" just as I did Darcy - phew thanks (from a lowly 1978 A Grade A-level JMB school student)

    • @jsusna1972
      @jsusna1972 2 года назад +2

      Exactly what I saw as well. The fact that the strings and balloon portions resemble arrows is coincidence. Had they simply been balls instead of balloons, this would simply be one of those problems that trick people up who don't know the order of operations. One could always ask the person who proposed the problem if the strings were meant to be arrows. I have my doubts.

  • @TheHackersboss
    @TheHackersboss 3 года назад +47

    The green balloon pair is the only pair that appears more than once, and everytime it is arranged the same way, and therefore does not give us any affirmation that the arrangment matters. Therefore, the blue balloon pair being arranged differently could easily be just arbitrary.
    If it isn't arbitray, then kudos to you for spotting that detail!

  • @elonmask50
    @elonmask50 4 года назад +18

    I’ll go with 21, because...
    When I hear hoof steps, think horses, not unicorns..

    • @GRice999
      @GRice999 4 года назад

      You're missing so much in life . . .

  • @tttriplez
    @tttriplez 2 года назад +1

    i did it a different way and im not sure if its right but i took the red ones as 10, each green one as 2 and each blue one as 1 and then for the answer i got 22

  • @majorneptunejr
    @majorneptunejr 3 года назад +81

    I thought he was going to comment on the green balloons not being the same. One has a short string .

    • @WintryFox
      @WintryFox 3 года назад +9

      Me, too. Especially since the blue balloons have all the strings the same length.

    • @kteideman
      @kteideman 3 года назад

      And I.

    • @ImaginarySpace
      @ImaginarySpace 3 года назад

      Yeah, I guess there is one more trick that string is indicating. Don't know what though.

    • @marke3013
      @marke3013 3 года назад

      Yup, me too.

  • @welcometohell3002
    @welcometohell3002 5 лет назад +90

    WELL ACTUALLy, the original image uses an EQUaLS SIGN, no tildes involved! This implies an _exact_ number, of which you did not provide and instead opted to CHANGE the original equation to better fit your answer. 'Careful attention to all details in the puzzle', **LAUGHTER NOISES** ,,, cHECKMATE ATHIEsTS

    • @zoeboy82
      @zoeboy82 5 лет назад +3

      welcome to hell Exactly can’t change symbols

    • @sirmoonslosthismind
      @sirmoonslosthismind 5 лет назад +7

      @@zoeboy82 he's very clear that the "exact" answer is e^(W(ln 2)) + 20. it's just good manners to also provide a rational approximation of that irrational answer.

    • @Stunningandbrave
      @Stunningandbrave 5 лет назад +1

      @@sirmoonslosthismind Does his green and blue equation equal 2?

    • @glumbortango7182
      @glumbortango7182 5 лет назад +1

      This is my favorite comment here

  • @gintarasj903
    @gintarasj903 3 года назад +14

    1.If one takes notice of double question mark, it suggests the answer is integer between 10 and 99.
    2.I myself just see thread tied to ballon, not an arrow.
    3.Assigning integer values to ballons, the answer is 21.

  • @xXxXx-----xXxXx
    @xXxXx-----xXxXx 3 года назад +84

    Me: solves the puzzle before watching the video
    Video: shows "solution" at 2:45 and there are still 6 minutes left
    Me: okay time for a trip to hell

  • @pewpewpandas9203
    @pewpewpandas9203 3 года назад +53

    I treated the balloon strings as vector representations and used their relative magnitude to come up with the answer 83/3 or 27 2/3 (red = 10, single blue = 1, and single long green = 8/3)

    • @dell31243
      @dell31243 3 года назад +3

      I think your answer is better than the one posted In the video.

    • @ElProf
      @ElProf 3 года назад +1

      Was looking for a comment pointing out that the pair of green balloons don't have matching strings. I don't remember a single thing about vectors though so I will accept your answer as the one true answer.

    • @tychophotiou6962
      @tychophotiou6962 3 года назад

      I did exactly the same.

    • @olli4807
      @olli4807 2 года назад +1

      This is what I ended up with too. Good to see I wasn't only one.

    • @thebookdoc.writing.and.editing
      @thebookdoc.writing.and.editing 2 года назад

      I just posted the same answer. I am pretty convinced 27.66 is the only alternative. The log/square solution does NOT WORK for the second and third equations which end in whole number.

  • @pm71241
    @pm71241 4 года назад +71

    I hate this kind of exercises where the "trick" is to make assumptions about notation.
    ... whether reasonable or not.

    • @snap-off5383
      @snap-off5383 3 года назад +2

      Yeah its not math its speculation.

    • @maysminecraft
      @maysminecraft 3 года назад +1

      @@snap-off5383 not entirely, if you replace all the balloons with letters then you can see that notations is implied via the placement of the balloons. Algebra can be explained in a simplified way by saying "we replace the numbers we don't know with letters" if you substitute the word letters with balloons, then you can see how he got to the that conclusion.
      I got 21 but I am not a genius.

    • @snap-off5383
      @snap-off5383 3 года назад

      @@maysminecraft "if" my aunt had nads, she'd be my uncle.

    • @zoe.h.nelson04
      @zoe.h.nelson04 3 года назад

      Yeah but that's kinda how math is used in real life... Although it is annoying when they intentionally try to trick you

  • @themariogamer6812
    @themariogamer6812 2 года назад

    8:00 'Did you figure it out?'
    Me: 'Well, no, obviously!'😂

  • @KleineWellen
    @KleineWellen 3 года назад +69

    I think it is 31 as the one green arrows is shorter so the pair is 3+1 ;-)

    • @rubenhclindenhols
      @rubenhclindenhols 3 года назад +5

      I though the long balloon was 8/3 and the other was 4/3 (adding up to 12/3 =4) then red is 10 obv and the blue were both 1. (4 - 2 = 2) because both lenghts are the same there. 10 × 8/3 = 80/3 = 26 2/3 and then adding the 1 is 83/3 or 27 2/3 rounded of to 27.666...

    • @fiveoneecho
      @fiveoneecho 3 года назад +3

      Yeah, I was also thinking of a way to use the arrows as proportions.

    • @8Smoker8
      @8Smoker8 3 года назад +1

      But the position of green and blue in the pair has to mean something as well.

    • @sakshamsinghal5418
      @sakshamsinghal5418 3 года назад

      And who says the pair is 3 and 1 could be 2.45 and 1.55 nowhere does it say that they are 3 and 1

  • @rhysthurin6098
    @rhysthurin6098 4 года назад +17

    That's a pretty high-level troll job right there.

  • @mikeryan6277
    @mikeryan6277 3 года назад +45

    Damn, I had it all wrong. I thought that since all the balloons were ascending that they must be filled with a gas lighter than air and the arrows indicated Lift/Gravity and the different colors meant different gases so I have been trying to determine what those gases are based on the amount of lift generated by each balloon.

  • @jonvan7014
    @jonvan7014 2 года назад +7

    Interesting. Can you also please explain how the (Double Green Balloon minus the Double Blue Balloon) equation equals two, if one Blue Balloon equals 1.56 (i.e. to complete the proof)?

    • @Mesa_Mike
      @Mesa_Mike Год назад

      Because ~1.56 ^ ( ~1.56) = ~2

  • @anujgupta3397
    @anujgupta3397 4 года назад +156

    I asked this puzzle from my family and then explained this solution to them
    Now I am homeless... Help

  • @pierregirardeau806
    @pierregirardeau806 6 лет назад +49

    I don't find any fun in trying to interpret every statement given in a puzzle. What I found fun is when the problem is very well stated and the rules are clear but when it is hard to find a solution.
    In this problem, you just try to find what everything means so there is a million possible answer and no one can say that any one solution is better than another because the rules are not clear.

    • @mega1chiken6dancr9
      @mega1chiken6dancr9 6 лет назад

      being scared of going too far in math will never help you in life

    • @o.sunsfamily
      @o.sunsfamily 6 лет назад +5

      Lin Lin Towns That's not what he said. He criticized the diffuse nature of the problem. And this is really cryptography not maths because once you know what every symbol stands for there is no problem at all. And I would say there is a big difference between the two blue balloons who could be indeed x^x and the green balloon for its string is half the size. One could argue the other half got cut off for design reasons, but I don't like to use coincidence as an explanation.

  • @velvetunderground9835
    @velvetunderground9835 3 года назад +130

    Me sees MindYourDecisions: WOOHOO
    Me 2 minutes into video: YES! THE ANSWERS 21! NAILED IT!
    Me 8 minutes and 51 seconds after start of video: 😳😭

    • @PatNetherlander
      @PatNetherlander 3 года назад +8

      Me too exactly! And when he's going ballistic with them natural logs I usually go outside to start a fire with them...

    • @greggreen5510
      @greggreen5510 3 года назад +1

      🤣🤣🤣😂😂😂😅

    • @johnyjoe4259
      @johnyjoe4259 3 года назад

      exactly. also, ur name should me MR Rubik's, thats the actual spelling

    • @dawsonraynes5927
      @dawsonraynes5927 3 года назад

      @@johnyjoe4259 Dude, it’s a nickname. You don’t hear someone say, “my name is Jon,” and say that they mean John.

    • @johnyjoe4259
      @johnyjoe4259 3 года назад

      @@dawsonraynes5927 its not tho? its just incorrect spelling

  • @talaleddie1
    @talaleddie1 2 года назад +1

    If you are considering other possibilities then you should consider the possibility of the arrows of the balloons.
    For Green Balloons - Right balloon is lower than the left one and since we are determining the value here and not the mass, so we can consider the possibility of the left balloon has more value than the right one. Also, the arrow of the left balloon is quite similar to the diameter of the balloon, hence we can suggest here that the value of arrow and balloon is half to each other i.e Balloon(1) and Arrow(1), however the right balloon arrow is almost half in size to the left arrow i.e right arrow(0.5) in value and the remaining right balloon will have the value of 1. Now we have the value of 3.5 but considering two balloons and two arrows equals 4, then the remaining 0.5 value should be equally distributed between two green balloons and the left arrow since they have approximately same size. hence the value of one green balloon will be 1+0.1667=1.1667 and same goes to the left arrow 1.1667.
    Now, coming back to the question,
    Red Balloon is 10
    Green Balloon is 2.3334
    Blue Balloon is 1,
    then one of the possibility for the answer should be 1 + 10 x 2.3334 = 24.3334

  • @STARDRIVE
    @STARDRIVE 5 лет назад +70

    You want to know the meaning of life? The reason for everything?
    This is half the answer.

  • @jlittlenz
    @jlittlenz 6 лет назад +12

    Your method for solving y^y = 2 involves unusual (IMO) mathematics. That's ok, and interesting, this is a maths channel. But for huge numbers of people, I would suggest many more than know about the Lambert W function, using a spreadsheet is much simpler, more understandable, and quicker. Set A1 to 1.5, set A2 to =power(a1,a1) then goal seek for A2 = 2 varying A1. 1.55961046958442 quicker than I can type it.

  • @johnpotts8308
    @johnpotts8308 3 года назад +9

    An alternative solution would be to say that two balloons together represent the square function (just like aa is equivalent to a squared). That makes Red = 10 and Green = 2, but Blue equals root 2. So the final expression is equal to (about) 21.4. Pretty sure that isn't the intention, but that seems a more reasonable "looking beyond the obvious" solution.

  • @tylamason6712
    @tylamason6712 2 года назад +1

    I was able to get the answer subconsciously, I just instinctively rounded down