I just found half of 188 to be 94, 94 x 2 = 188, so I added half the difference given (i.e., 34) to one of those 94s and subtracted half the difference from the other. 94 + 17 = 111 and 94 - 17 = 77.
I'm glad I saw this reply...I was about ready to post the same thing! To prove you're right, 111+77=188. 111-77=34. If you're like me, it took only as many seconds to figure this out, as the number of minutes this video took to explain it!😎😎
@@vincentrobinette1507 But it is not algebra. :) Algebraic it goes like this: X + Y = 188 and X - Y = 34 => X = 188 - Y. So 188 - Y - Y = 34 (this is the algebraic equation) => 188 - 2 Y = 34 => - 2 Y = - 154 => 2 Y = 154 => Y = 77 => X = 188 - 77 = 111. So X + Y = 111 + 77 = 188 and X - Y = 111 - 77 = 34.
I did it similarly dividing 188 by 2 to get 94, then dividing 34 by 2 and subtracting that from one of my 94s and adding it to the other. Your way is easier.
If you want to increase your subscribers could I suggest that you quit padding your videos to increase the advert count. The padding and repetition is really annoying, people come here for two reasons a) they don’t know how to solve the problem and want to find out or b) they know how to solve the problem and want to see if you solve it the same way. Group b just need to see the solution. Group a need some repetition but not as much as you put in, anyone who needs more than a couple of restatements lacks the cognitive capacity (most likely due to a general learning difficulty or a specific learning difficulty such as Dysorthographia) to apply the solution. Both groups get frustrated by the padding and get turned off.
The easiest technique is to halve 188 which gives you 94 then take away half of 34(17) from 94 which leaves 77. 188 - 77 is 111. Therefore 111 and 77 is your answer. Algebra not needed. Just common sense.
its far easier to just add 188 + 34 = 222 and then divide by 2 to get 111, which is the first number. For the other number you can either subtract 34 and you get 77 or you subtract the 111 from 188 to get 77.
@@marcreider9573mine is using algebra, just a shortened form of it. x + y = 188 x - y = 34 add both equations and you get 2x = 222 |:2 x = 111 then use that in one of the first equations to get the value of y = 77.
You know what you're doing, which is good. You're still working with two variables, but you've processed one of them in your head, rather than on paper. That makes it less easy for someone else to follow along. Better, I think, to be verbose and take small steps, rather than leaps. Showing where the (X+34) came from would add clarity. You could start with the second equation and transpose so that y is isolated on the left side. Then show the substitution into the first equation. Also, this part has combining terms, subtracting from both sides, and the result of that subtraction, all occurring in one step: X + (X + 34) = 188. 2X = 188-34. In my opinion, they should be done in separate steps so others can more clearly see what you're doing. -------------------------------------------- [Difference] Y - X = 34 Y - X + X = 34 + X Y = 34 + X Y = X + 34 ------------ (We'll use this now and at the end.) [Sum] X + Y = 188 (substitute) X + (X + 34) = 188. 2X + 34 = 188 2X + 34 - 34 = 188 - 34 2X = 154 X = 77
@@dougnettleton5326 That certainly gets to the correct values but if you don't mind, I'll offer some suggestions to improve your presentation. I think it adds clarity if you start a new line for each change, so I'd avoid stringing equalities across the same line. You could add a line when you solve for X to literally show the addition before actually performing the addition. X + Y = 188 X - Y = 34 Add the two equations to get X + Y + X - Y = 188 + 34
@retread1083 Very funny😂 My original solution was: X + Y = 188 X - Y = 34 Add to eliminate Y 2X = 222 X = 111 Y = 111 - 34 = 77 The deleted stuff was added for clarity. I had a line at the end "No need to write a book" but deleted it. I don't think anyone needing the painful level of detail you provided would be able to work a device where they would encounter the video with the problem.
Greetings. The numbers are 111 and 77. We determine the values as follows. We assume that the numbers are X and Y. Thereafter, the sum of these numbers will be ( X +Y) and since we are told that these numbers added is equal to 188, we have X +Y=188. The difference of these numbers equal 34, that is X-Y=34. Now we have two equations with the unknowns X and Y. To determine the values for X and Y, we first eliminate one of the unknowns. We do this by adding the two equations to eliminate Y, that gives 2X = 222, and X = 111. To find the value of Y, we substitute the value for X in either equations. Using equation (2), X -Y = 34 gives 111-Y= 34 and -Y= 34 -111= 77. Lovely.
This is much easier than it sounds We have two numbers to find .. but .. we can call them N and N + 34 and we know that N + N + 34 = 188 N + N = 188 - 34 2N = 154 N = 77 and the other number is 77 + 34 = 111
That was a fun one to figure out. X=111, Y=77. First I tried to reword it so there was only one variable. If X-Y=34, then X=Y+34. From that, you can use (Y+34) to substitute for X. X+Y=188 becomes (Y+34) + Y = 188. Or 2Y+34=188... 2Y=154 ... Y=154/2 ... Y=77. If X=Y+34, then X=111. I did it differently than John, but it works.
The two numbers are 77 and 111. I came up with this answer by subtracting 34 from 188 which gave me 150 for I divided the 154 by 2 to get to equal amounts which were 77 and then I added the 34 back to the 77 to get the 111 that's how I solved it
Devide the total (188) in half (188/2=94), subtract half of the difference (34) from 94 (94-17=77) and add half of the difference to 94 (94+17=111). The two numbers are 77 and 111.
I took a different route. I subtracted 34 from 188, leaving 154. Then I divided 154 by 2, giving me 77. Then I added the 34 to 77 to give me the other number, 111. The algebraic equation I used was X + 34 + X = 188, or 2X + 34 = 188, or 2X = 154, or X = 77, and X + 34 = 111.
I've gotten into the habit of trying to solve the problem from the thumbnail, then opening the video and using the scrubber to skip to the solution. If I'm right, I don't watch the video unless I I think it might show me a better way of solving the problem; if I'm wrong, however, then I watch pretty much the whole video.
I wish I had a teacher like you when I was in school! I've learned more by watching your videos than I learned in four years of high school. Thank you.
i just divided 188 by two in my head, and added half of 34 to it to get the first number. So, (188/2) + (34/2) = 111. Then either subtract 111 - 34 to get 77, or just go (188/2) - (34/2) = 77. Haven't watched the video to see how he did it, but watched far enough to check my answer.
I subtracted 34 from 188 and divided the 154 (188-34) by 2, giveng me 77. By adding 77 and 34, I get the higher number 111 while using the lower number 77.
I divided 188 by 2 = 94 The divided 34 by 2=17 Then added 94+17=111 And finally subtracted 94-17 =77 Actually, since I did it in my head, I think I mentally subtracted 111 from 188 to get 77 ( it was an easier subtraction)
Solution: x + y = 188 x - y = 34 Add the two equations together to get: x + y + x - y = 188 + 34 2x = 222 |:2 x = 111 x + y = 188 111 + y = 188 |-111 y = 77 The two numbers are 111 and 77.
The sum of the two numbers is 188. Therefore, draw a number line. Half of the 188 is 94. The differenceof these numbers is 34. Half of 34 is 17. Therefore, to the left of 94 is 94 -17 is 77. And, the right of 94 plus 17 is 111. Thus, 77, 111.
While adding the equations works just as well, I was taught substitution. Solve the first equation for one variable and replace that variable in the second equation.
77 and 111. Simply just make two equations. a + b = 188 b - a = 34 Use substitution to find b on one equation and plug it into the other. b = 188 - a (188 - a) - a = 34 188 - 2a = 34 a = 77 Now plug 77 into the other equation. 77 + b = 188 b = 111 Check your work. 77 + 111 = 188 111 - 77 = 34
111 and 77 and yes I used algebra. Specifically, started by describing the two true equations resulting from the description, then substituting and resolving for X and Y. Specifically, X+Y=188 and X=Y+34. Then the first equation can be represented as Y+34+Y=188. Then solve for Y. Once you have solved for Y you can immediately solve for X.
I divided 188 by 2, added 17 to the sum of 94 and came up with 111, the larger number. Subtracted 17 from the sum of 94 and came up with 77, the smaller number. The total of which is 188.
Let us write down a equations, what is given: x+y=188 x-y=34 If we add both equations, we get one equation with only one vatiable: (x+y)+(x-y)=188+34 x+y+x-y=222 2*x=222 x=111 We can insert this result inone of the original equations: 111+y=188 => y=188-111=77 or 111-y=34 => y=111--34=77 So the solutionis x=111 and y=77.
If a+b and a--b are given add both sums and devide it by2.that is a. Then subtract it from a+b. It is b. This is a mental sum. Very silly. 188+34=222.÷2=111..then188-111=77.(111 77)a and b
(difference + sum) / 2 = the higher of the two numbers 34 + 188 = 222 (difference + sum) 222 / 2 = 111 (gives the higher of the two numbers) 111 - 34 = 77 (subtract the difference to get the lower of the two numbers) 111 + 77 = 188 (test by adding both numbers)
I use this in gambling football and basketball. Lesson#1-Take the over/under minus the spread. Divide by 2 is your loser's score. Add it back and that's your winner's score. Predicted scores of course. Lesson #2-Don't gamble. LOL Lesson #3-ef Algebra!
In the beginning of the video, the answer is stated as (77,111). Shouldn't the answer be (111,77)? BTW, I really enjoy your videos. You are an excellent teacher!!
I got it right by in my head in a few seconds - (total - the difference) (difference / 2) (that answer + diff) (188-34=154) ( 154 / 2= 77) (77+34= 111) I would always lose points by not showing my work in class. LOL
Doesn't seem to be the easy way. Addition is generally easier than subtraction. x = lower number, not higher; x + 34 = y x + x + 34 = 188 2x = 154 x = 77 y = 111 ( from 188 - 77)
Sum of 2 numbers = 188 and the difference is 34. What are the 2 numbers? x + x + 34 = 188 2x + 34//2 = 188/2 x + 17 = 94 x + 17 - 17 = 94 - 17 x = 77 .. 1st # 2nd # or y = x + 34 y = x + 34 y = 77 + 34 y = 111 *didn’t want to use fractions😊
It is interesting that everyone ASSUMES the "difference" means X - Y = 34. But it could be that Y - X = 34. All that is stated is that, "the difference between the two numbers is 34." In either case you get the same NUMBERS, but they get assigned to the opposite variable.
Total / 2 +/- delta / 2. You can use X+Y = 188 and x -y = 34. Do the substitution and solve. But that’s the hard way. Maths uses a lot of shortcuts. Remember the old sum of 1 to 100 numbers…. You can do it the hard way. Or the easy way. Short cuts will save you lots of time when testing, when you have time limits
You sure made that a lot harder than it needs to be. 188/2=94 34/2=17 94-17=77 94+17=111 77+111=188 No paper, no calculator, just 10 seconds of time…if that.
I’m going to give you an honest reaction, my appreciation for these mini-lessons not-withstanding. The real substance of the video didn’t begin until 14:09. Anyone prepared to learn algebra would recognize that the word problem required two variables and both a sum and a difference. Is it okay for you to spend two minutes introducing yourself, your course, asking propel to subscribe and reviewing the word problem? Sure. Add one minute emphasizing the rule of three and delineating the parts of the problem. That’s eleven minutes of frustrated “when is he going to get to explaining how to set up and solve the equation?” Okay, it involved Systems so you needed a minute to inform us of that-but you didn’t teach any of them yet you perseverated on the topic. Why? It offered nothing helpful nor did it teach anything about solving the problem. Had you simply said “we are using something known as a System to solve this problem. This is a big and important topic in algebra and there are several different types of system. Mastering algebra requires you to learn all of them but for now we’re going to use the Linear Method.” That’s pertinent and moves the lesson along to solving the problem without loading the RUclips student down with unnecessary extraneous information. But what really bothered me is that when you finally got to the substance of solving the equation you positively rushed right through it. All of the critical steps-substituting numbers by adding or multiply on this side or that side of the equal sign-you state it as if it is obvious, apply it, and move on without a moment to absorb what you’ve done and how it affects the process. And you’re on to the next step… Learning requires grasping what has happened and where that is needed you have no granularity and leave no time. Like I said at the outset, I appreciate your videos and have no doubt you know what you’re teaching. My feedback about pacing, while blunt, is entirely well-intentioned.
Ah heck, no idea. Ill just throw some numbers out there: How about 111 and 77. Just pulled those out of my (hfmmm) I have no idea if that's even right, but I'm gonna go with that.
Deduct 34 from 188 = 154 /2 = 77 + 34 =111 + 77= 188 less than 3 seconds to resolve, no algebra required for a problem as basic as this. But thank you for your videos.
Subtract 34 from 188, divide 188 by 2, add 34 to one of those answers, get 77 and 111. How can you take 18 minutes to explain it, when it takes less than 30 seconds to solve? Unbelievable!
I added the sum and difference. Then I divided by 2 (just as shown) to get the first number. Afterwards, I subtracted the difference from the sum and divided this by two, and got the second number. Of course, the shown solution is a mathematically correct one and everybody should master it. But mine is faster (with such easy problems).
111 + 77 = 188; 111-77 = 34 X + Y = 188; X - Y = 34 x = 188 - Y x = 34 + Y 188 - Y = 34 + Y 188 = 34 + Y +Y 188 = 34 + 2Y 188 - 34 = 2Y 154 = 2Y 154/2 =Y 77 = Y
New to your channel. I would like to begin with some basic skills first. Example- pre- algebra. What are some videos you could suggest to build on to the more advanced lessons.
You could emulate the matrix solution, by subtracting 1/1 * equation 1 from equation 2, and show that X is eliminated from all other equations, solve for Y then back-substitute.
Seems the most facile method for finding the numbers is to use the Gaussian method of variable elimination. The two equations would be: x + y =188 and x - y = 34
I TOOK 100 ANS 88 , DIFFERENCE IS 12 THEN SUBTRACT 12 FROM 34 WHICH IS 22 THEN DIVIDED BY 2 WHICH IS 11 THEN ADDED 11 TO 100 AND SUBTRACT 11 FROM 88 , YOU CAN DO THIS ALL IN YOUR HEAD. 😂
Reading comments everyone is talking about how they got there without algebra. Well I did both but I used the substitution method instead of elimination method. Same answer of course.
X + Y = 188 X - Y = 34 So now y is known bc 2nd eq. X - 34 = Y Substitute this in first equation X + X - 34 = 188 2X-34=188 2X=188+34 2X=222 X=111 Y=111-34=77 Check ans.: 111+77=188 There's more than one way to skin a cat . . .😊 Peace
Same - just wait for instructor because of respect - regardless - as my mom said to me once - if the judge is wrong then you can appeal - to correct. Stop and think about it. 😮 If he was wrong - 😢 - then - speak up. Yes, 😊 I see your solution - but - it still is how the instructor, teaches, is the correct way. Learnt this before 1970 when I was in my primary academic. Always respect the instructor. That was why they are hired as a teacher or aka as an instructor. 👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍🙊🙉🙈🕵💥👀🌟
I just found half of 188 to be 94, 94 x 2 = 188, so I added half the difference given (i.e., 34) to one of those 94s and subtracted half the difference from the other. 94 + 17 = 111 and 94 - 17 = 77.
Yah that is what I did.
I'm glad I saw this reply...I was about ready to post the same thing! To prove you're right, 111+77=188. 111-77=34. If you're like me, it took only as many seconds to figure this out, as the number of minutes this video took to explain it!😎😎
@@vincentrobinette1507 But it is not algebra. :) Algebraic it goes like this: X + Y = 188 and X - Y = 34 => X = 188 - Y. So 188 - Y - Y = 34 (this is the algebraic equation) => 188 - 2 Y = 34 => - 2 Y = - 154 => 2 Y = 154 => Y = 77 => X = 188 - 77 = 111. So X + Y = 111 + 77 = 188 and X - Y = 111 - 77 = 34.
I did in my head - subracted the 34 from 188, divided by 2 for first number, added the 34 for second - 77 & 111.
That’s ow I did it in my head also
I did it similarly dividing 188 by 2 to get 94, then dividing 34 by 2 and subtracting that from one of my 94s and adding it to the other. Your way is easier.
Beware in some exams there are marks for method so may well be wanting variable like x.
Would depend on the exam.
I did the exact same method. Easy peasy
That's so helpful more than video
I divided the 188 and got 94. I divided the 34 and got 17. I then added 17 to 94, getting 111. Then subtracted 111 from 188, getting 77.
I went that way too.
The same. Cool.that’s away of a thinking brain
Sheesh...an example of making an easy solution hard..
Nice mathematical reasoning!
Same. Kind of brute the answer. It worked for this one.
If you want to increase your subscribers could I suggest that you quit padding your videos to increase the advert count. The padding and repetition is really annoying, people come here for two reasons a) they don’t know how to solve the problem and want to find out or b) they know how to solve the problem and want to see if you solve it the same way. Group b just need to see the solution. Group a need some repetition but not as much as you put in, anyone who needs more than a couple of restatements lacks the cognitive capacity (most likely due to a general learning difficulty or a specific learning difficulty such as Dysorthographia) to apply the solution. Both groups get frustrated by the padding and get turned off.
Agree. Good information but too wordy.
I always scroll to the answer and then backtrack to the problem. The verbosity is really annoying!
The easiest technique is to halve 188 which gives you 94 then take away half of 34(17) from 94 which leaves 77. 188 - 77 is 111. Therefore 111 and 77 is your answer. Algebra not needed. Just common sense.
its far easier to just add 188 + 34 = 222 and then divide by 2 to get 111, which is the first number. For the other number you can either subtract 34 and you get 77 or you subtract the 111 from 188 to get 77.
The goal is to find the answer using the tool of algebra, your limitless powers put aside.
@@marcreider9573mine is using algebra, just a shortened form of it.
x + y = 188
x - y = 34
add both equations and you get
2x = 222 |:2
x = 111
then use that in one of the first equations to get the value of y = 77.
@@marcreider9573 Exactly.
I solved using X + (X + 34) = 188. 2X = 188-34. 2X = 154. X=77. X+ 34 = 111
You know what you're doing, which is good. You're still working with two variables, but you've processed one of them in your head, rather than on paper. That makes it less easy for someone else to follow along. Better, I think, to be verbose and take small steps, rather than leaps.
Showing where the (X+34) came from would add clarity. You could start with the second equation and transpose so that y is isolated on the left side. Then show the substitution into the first equation.
Also, this part has combining terms, subtracting from both sides, and the result of that subtraction, all occurring in one step:
X + (X + 34) = 188. 2X = 188-34.
In my opinion, they should be done in separate steps so others can more clearly see what you're doing.
--------------------------------------------
[Difference]
Y - X = 34
Y - X + X = 34 + X
Y = 34 + X
Y = X + 34 ------------ (We'll use this now and at the end.)
[Sum]
X + Y = 188
(substitute)
X + (X + 34) = 188.
2X + 34 = 188
2X + 34 - 34 = 188 - 34
2X = 154
X = 77
Excellent explanation. I had a page of scribbled equations as I floundered around. Your solution revived my flagging brain in seconds! 👍
@retread1083
How about?
X + Y = 188
X - Y = 34
Add the two equations to get
2 × X = 222
X = 222 / 2 = 111
Y = X - 34 = 111 - 34 = 77
@@dougnettleton5326 That certainly gets to the correct values but if you don't mind, I'll offer some suggestions to improve your presentation. I think it adds clarity if you start a new line for each change, so I'd avoid stringing equalities across the same line. You could add a line when you solve for X to literally show the addition before actually performing the addition.
X + Y = 188
X - Y = 34
Add the two equations to get
X + Y + X - Y = 188 + 34
@retread1083
Very funny😂
My original solution was:
X + Y = 188
X - Y = 34
Add to eliminate Y
2X = 222
X = 111
Y = 111 - 34 = 77
The deleted stuff was added for clarity. I had a line at the end "No need to write a book" but deleted it.
I don't think anyone needing the painful level of detail you provided would be able to work a device where they would encounter the video with the problem.
Greetings. The numbers are 111 and 77. We determine the values as follows. We assume that the numbers are X and Y. Thereafter, the sum of these numbers will be ( X +Y) and since we are told that these numbers added is equal to 188, we have X +Y=188. The difference of these numbers equal 34, that is X-Y=34. Now we have two equations with the unknowns X and
Y. To determine the values for X and Y, we first eliminate one of the unknowns. We do this by adding the two equations to eliminate Y, that gives 2X = 222, and X = 111. To find the value of Y, we substitute the value for X in either equations. Using equation (2), X -Y = 34 gives
111-Y= 34 and -Y= 34 -111= 77. Lovely.
This is much easier than it sounds
We have two numbers to find .. but .. we can call them N and N + 34
and we know that N + N + 34 = 188
N + N = 188 - 34
2N = 154
N = 77 and the other number is 77 + 34 = 111
That was a fun one to figure out. X=111, Y=77. First I tried to reword it so there was only one variable. If X-Y=34, then X=Y+34. From that, you can use (Y+34) to substitute for X. X+Y=188 becomes (Y+34) + Y = 188. Or 2Y+34=188... 2Y=154 ... Y=154/2 ... Y=77. If X=Y+34, then X=111. I did it differently than John, but it works.
The two numbers are 77 and 111. I came up with this answer by subtracting 34 from 188 which gave me 150 for I divided the 154 by 2 to get to equal amounts which were 77 and then I added the 34 back to the 77 to get the 111 that's how I solved it
Yes, a simple and very logical way to do it in one's head ...it takes about twelve seconds or less.
That is what I did right off the get go . Takes seconds to figure it out .
I did it this way also. Solved mentally in just a few seconds and didn't need a calculator OR algebra.
I did it similar, I halved 188 and 34 and got 94 and 17, then I added and subtracted 17 from 94.
@@eddyrourke5514That's exactly the method I used in my head in well less than a minute.
Devide the total (188) in half (188/2=94), subtract half of the difference (34) from 94 (94-17=77) and add half of the difference to 94 (94+17=111). The two numbers are 77 and 111.
I took a different route. I subtracted 34 from 188, leaving 154. Then I divided 154 by 2, giving me 77. Then I added the 34 to 77 to give me the other number, 111. The algebraic equation I used was X + 34 + X = 188, or 2X + 34 = 188, or 2X = 154, or X = 77, and X + 34 = 111.
Hey, whatever works for you. If everyone thought and processed things the same way, it'd be a boring world.@@TheHawk--oe8iq
Too much explanation, but thanks for the constant flow of problems nonetheless 😁
Remember he is pitching these lessons to people who maybe NEED more explanation than you.
Thank goodness. I saw the previous answers and worried I was wrong. I got 111 and 77.
Same here. 😅
I've gotten into the habit of trying to solve the problem from the thumbnail, then opening the video and using the scrubber to skip to the solution. If I'm right, I don't watch the video unless I I think it might show me a better way of solving the problem; if I'm wrong, however, then I watch pretty much the whole video.
I did it exactly as in the video. And I mean: exactly. :)
THE 2 numbers are 111 and77 but I didn't probably do it the way you are going to do it
I wish I had a teacher like you when I was in school! I've learned more by watching your videos than I learned in four years of high school. Thank you.
Same
in HS you were only interested in the hairy end of a belly
A few of us could multitask
Why not just x + (×+34) =188? When you solve for x you get the other number with x+34.
That's the substitution method he briefly mentioned at 12:35
But you've skipped steps to get there.
Also, x + (x - 34) = 188
Gives the larger # 111
Then x - 34 = 77
i just divided 188 by two in my head, and added half of 34 to it to get the first number. So, (188/2) + (34/2) = 111. Then either subtract 111 - 34 to get 77, or just go (188/2) - (34/2) = 77. Haven't watched the video to see how he did it, but watched far enough to check my answer.
I subtracted 34 from 188 and divided the 154 (188-34) by 2, giveng me 77. By adding 77 and 34, I get the higher number 111 while using the lower number 77.
I just subtracted 34 from 188, divided 154 by 2, got 77 and added the 34 back to one of the numbers.
I tested a bunch of numbers indeed! Not the right method for sure. :(
I don't deserve stars for this one. ;)
But I learned the proper method.
the sum of means a factor two. or as I do half the 188 and set a plus/ min. Like half both numbers 188/2 + or - 34/2 leads to 94 + 17 and 94 -17
I divided 188 by 2 = 94
The divided 34 by 2=17
Then added 94+17=111
And finally subtracted 94-17 =77
Actually, since I did it in my head, I think I mentally subtracted 111 from 188 to get 77 ( it was an easier subtraction)
He doesn’t actually solve the problem until like 14:50
Solution:
x + y = 188
x - y = 34
Add the two equations together to get:
x + y + x - y = 188 + 34
2x = 222 |:2
x = 111
x + y = 188
111 + y = 188 |-111
y = 77
The two numbers are 111 and 77.
Systems Of Equations
The sum of the two numbers is 188. Therefore, draw a number line. Half of the 188 is 94. The differenceof these numbers is 34. Half of 34 is 17. Therefore, to the left of 94 is 94 -17 is 77. And, the right of 94 plus 17 is 111. Thus, 77, 111.
That’s basically how I solved it, no pencil needed lol. Yes still used a calculator.
That's how i solved, but in my head in a few seconds.
Yes that is how I solve it until he reminded me to use algebra then I used the substitution method. Not elimination like he did.😁
Exactly how I did it. But I did use a calculator.
Hi. Can you explain why you cut each number in half? I used substitution method but I would love to understand what you did. Thanks!
Please just get to the point. Too much preamble crap!!
I divided 188 by 2 = 94 and divided 34 by 2 =17. 94 + 17 = 111 and 94 - 17 = 77
Exactly how I solved it.....
The important lesson is being able to translate the problem into equations.
While adding the equations works just as well, I was taught substitution. Solve the first equation for one variable and replace that variable in the second equation.
Me every day hey siri what is the name of the mermaid 🧜♀️
I got the right answer. I subtracted 34 from 188 then I took 1/2 of that answer to get 77, added 34 to get 111. Your way was so much easier though .
So this is where Systems of equations come in handy
Can you give an example when this might come up in the real world?
I mean… even behind the till in your nearest supermarket, you will benefit from a bit of knowledge of basic algebra.
77 and 111. Simply just make two equations.
a + b = 188
b - a = 34
Use substitution to find b on one equation and plug it into the other.
b = 188 - a
(188 - a) - a = 34
188 - 2a = 34
a = 77
Now plug 77 into the other equation.
77 + b = 188
b = 111
Check your work.
77 + 111 = 188
111 - 77 = 34
188 Sum of 2 Numbers A
34 Dif of 2 Numbers B
94 Half of 188 A/2
77 Second Number A-(B/2)
111 First Number A+(B/2)
34 111-77 A-B
188 111+77 A+B
111 and 77 and yes I used algebra. Specifically, started by describing the two true equations resulting from the description, then substituting and resolving for X and Y. Specifically, X+Y=188 and X=Y+34. Then the first equation can be represented as Y+34+Y=188. Then solve for Y. Once you have solved for Y you can immediately solve for X.
188-34=154
x=154/2=77
y=77+34=111
I divided 188 by 2, added 17 to the sum of 94 and came up with 111, the larger number. Subtracted 17 from the sum of 94 and came up with 77, the smaller number. The total of which is 188.
Let us write down a equations, what is given:
x+y=188
x-y=34
If we add both equations, we get one equation with only one vatiable:
(x+y)+(x-y)=188+34
x+y+x-y=222
2*x=222
x=111
We can insert this result inone of the original equations:
111+y=188 => y=188-111=77
or
111-y=34 => y=111--34=77
So the solutionis x=111 and y=77.
77.
111
Ya don't need algebra if you want the answer quickly. 188-34=154/2=77+34=111...77 and 111...easy peasy...
If a+b and a--b are given add both sums and devide it by2.that is a. Then subtract it from a+b. It is b. This is a mental sum. Very silly. 188+34=222.÷2=111..then188-111=77.(111 77)a and b
(difference + sum) / 2 = the higher of the two numbers
34 + 188 = 222 (difference + sum)
222 / 2 = 111 (gives the higher of the two numbers)
111 - 34 = 77 (subtract the difference to get the lower of the two numbers)
111 + 77 = 188 (test by adding both numbers)
I use this in gambling football and basketball.
Lesson#1-Take the over/under minus the spread. Divide by 2 is your loser's score. Add it back and that's your winner's score. Predicted scores of course.
Lesson #2-Don't gamble. LOL
Lesson #3-ef Algebra!
In the beginning of the video, the answer is stated as (77,111). Shouldn't the answer be (111,77)? BTW, I really enjoy your videos. You are an excellent teacher!!
I got it right by in my head in a few seconds - (total - the difference) (difference / 2) (that answer + diff) (188-34=154) ( 154 / 2= 77) (77+34= 111) I would always lose points by not showing my work in class. LOL
Divide both values by 2. 188/2 = 94, 34/2=17. Then subtract 17 from 94 for 77 and add 17 to 94 for 111. This was my mental process.
Let the numbers be X and Y. The sum is 188-34 = 154.
: X+Y = 188- 34= 154
X+ Y= 188-34 = 154.
Therefore X + Y =154/2 = 77
The Answer is 77.
I long ago forgot this method of eliminating the y variable. I just did: x+(x-34)=188 >> 2x=222 >> x = 111 >> therefore y=x-34=77
Doesn't seem to be the easy way. Addition is generally easier than subtraction.
x = lower number, not higher; x + 34 = y
x + x + 34 = 188
2x = 154
x = 77
y = 111 ( from 188 - 77)
Sum of 2 numbers = 188 and the difference is 34. What are the 2 numbers?
x + x + 34 = 188
2x + 34//2 = 188/2
x + 17 = 94
x + 17 - 17 = 94 - 17
x = 77 .. 1st #
2nd # or y = x + 34
y = x + 34
y = 77 + 34
y = 111
*didn’t want to use fractions😊
It is interesting that everyone ASSUMES the "difference" means X - Y = 34. But it could be that Y - X = 34. All that is stated is that, "the difference between the two numbers is 34." In either case you get the same NUMBERS, but they get assigned to the opposite variable.
Total / 2 +/- delta / 2. You can use X+Y = 188 and x -y = 34. Do the substitution and solve. But that’s the hard way. Maths uses a lot of shortcuts. Remember the old sum of 1 to 100 numbers…. You can do it the hard way. Or the easy way. Short cuts will save you lots of time when testing, when you have time limits
Now I think I can try to figure out the age of Ann's brother using this method. ;)
At least I'm going to try.
Not if it's based on Ann's age. Women always lie about their age.
@@retread1083 😂😂😂
Lol. I divided 188/2=94. I divided 34/2=17. Add 17 to 94=111. Subtract 94-17=77. So I got the right answer in my head but by a kooky method?
You sure made that a lot harder than it needs to be.
188/2=94
34/2=17
94-17=77
94+17=111
77+111=188
No paper, no calculator, just 10 seconds of time…if that.
I’m going to give you an honest reaction, my appreciation for these mini-lessons not-withstanding. The real substance of the video didn’t begin until 14:09. Anyone prepared to learn algebra would recognize that the word problem required two variables and both a sum and a difference. Is it okay for you to spend two minutes introducing yourself, your course, asking propel to subscribe and reviewing the word problem? Sure. Add one minute emphasizing the rule of three and delineating the parts of the problem. That’s eleven minutes of frustrated “when is he going to get to explaining how to set up and solve the equation?” Okay, it involved Systems so you needed a minute to inform us of that-but you didn’t teach any of them yet you perseverated on the topic. Why? It offered nothing helpful nor did it teach anything about solving the problem. Had you simply said “we are using something known as a System to solve this problem. This is a big and important topic in algebra and there are several different types of system. Mastering algebra requires you to learn all of them but for now we’re going to use the Linear Method.” That’s pertinent and moves the lesson along to solving the problem without loading the RUclips student down with unnecessary extraneous information.
But what really bothered me is that when you finally got to the substance of solving the equation you positively rushed right through it. All of the critical steps-substituting numbers by adding or multiply on this side or that side of the equal sign-you state it as if it is obvious, apply it, and move on without a moment to absorb what you’ve done and how it affects the process. And you’re on to the next step… Learning requires grasping what has happened and where that is needed you have no granularity and leave no time.
Like I said at the outset, I appreciate your videos and have no doubt you know what you’re teaching. My feedback about pacing, while blunt, is entirely well-intentioned.
Ah heck, no idea. Ill just throw some numbers out there: How about 111 and 77. Just pulled those out of my (hfmmm) I have no idea if that's even right, but I'm gonna go with that.
Deduct 34 from 188 = 154 /2 = 77 + 34 =111 + 77= 188 less than 3 seconds to resolve, no algebra required for a problem as basic as this. But thank you for your videos.
Subtract 34 from 188, divide 188 by 2, add 34 to one of those answers, get 77 and 111. How can you take 18 minutes to explain it, when it takes less than 30 seconds to solve? Unbelievable!
I added the sum and difference. Then I divided by 2 (just as shown) to get the first number. Afterwards, I subtracted the difference from the sum and divided this by two, and got the second number.
Of course, the shown solution is a mathematically correct one and everybody should master it. But mine is faster (with such easy problems).
The way I used was x+y=188&2x=188-34=154so 2x=154, gives x=77&other value must be 77+34=111
111 + 77 = 188; 111-77 = 34
X + Y = 188; X - Y = 34
x = 188 - Y
x = 34 + Y
188 - Y = 34 + Y
188 = 34 + Y +Y
188 = 34 + 2Y
188 - 34 = 2Y
154 = 2Y
154/2 =Y
77 = Y
New to your channel. I would like to begin with some basic skills first. Example- pre- algebra. What are some videos you could suggest to build on to the more advanced lessons.
You could emulate the matrix solution, by subtracting 1/1 * equation 1 from equation 2, and show that X is eliminated from all other equations, solve for Y then back-substitute.
I did 188 divided by 2=94, then 34 divided by 2=17. 94-17=77. Then 188-77=111. 77 and 111 are the unknown numbers.
Seems the most facile method for finding the numbers is to use the Gaussian method of variable elimination. The two equations would be: x + y =188 and x - y = 34
x + y = 188
x - y = 34
------------------
2x + 0 = 222
2x / 2 = 222 / 2
-------------------------
x = 111
111 + y = 188
y = 188 - 111
-------------------------
y = 77
x - y = 34
111 - 77 = 34
34 = 34
=================
x = 111, y = 77
I used a more literal method for this (did some algebra my style and ended up with x = 94 +-17, x = 111, x = 77
I just halved the sum (94) then halved the difference (17) added 17 to 94 and subtracted 17 from 94.
Did this in my head and much quicker than the equation. Half is 94 take 17 off and whoop whoop. Can work out the numbers from that 77/111
THe sum = 188, the difference = 34. 188-34 = 154. 154/2 = 77. 77+34 = 111. So the two numbers are 77 and 111.
I solved this differently. 188 divided by 2 = 94, 34 divided by 2 = 17, 94+17=111, 94-17=77.
a+b = 188. a-b = 34. Add the two equations: 2a = 222. a = 111. b +111 = 188 so b = 77. You don't need 18 minutes to describe this.
11 full minutes of repetitive rambling, before he finally starts solving the problem. 🤷♂️
Dang! You had me puffing out my chest at around the 3:24 mark ... and then hit me with "... but all jokes aside..."
I TOOK 100 ANS 88 , DIFFERENCE IS 12 THEN SUBTRACT 12 FROM 34 WHICH IS 22 THEN DIVIDED BY 2 WHICH IS 11 THEN ADDED 11 TO 100 AND SUBTRACT 11 FROM 88 , YOU CAN DO THIS ALL IN YOUR HEAD. 😂
I haven't watched the video, but
(x-34)+x=188
2x=222
x=111
y=111-34
y=77
I've taken to reading only the comments, because the problems are interesting, the teacher way too wordy and patronizing.
2x+34=188, therefore it implies one number is 77, the other= 77+34 gives 111.
Reading comments everyone is talking about how they got there without algebra. Well I did both but I used the substitution method instead of elimination method. Same answer of course.
The answer is in the statement: the sum of two numbers ..."
Divide both by two, add to one, subtract from the other, and no algebra involved.
I divided 188 in half. 34 in half. I substrates 17 from 94 and added 17 to 94.
a+b=188
a-b=34
2a=222
A=111
B=77 system of equations add the two equations to isolate a and solve then substitute a to solve for b.
I like this explanation, as well.
subtract 34 from 188 and divide by 2. add 34 to 1 of the numbers. result, 111 and 77.
They were called simultaneous linear equations when I was at school, and this was a rambling, long-winded way to reach a simple solution.
This is a trick question they were not 2 numbers there were 5 numbers. Boo, false information.
Let's say the two numbers are x and y
x + y = 188
x = y + 34
y + y + 34 = 188 --> 2y = 188 - 34 = 154 --> y = 77
x = y + 34 --> x = 111
34 + 154 = 188
188 - 34 = 154
154/2=77
(77+34)=111
111+77=188
188-34=154
The problem literally spells out the two equations!
{77,111} in about 30 seconds. Way too long. Sorry.
The answers are 116 and 72. X+Y=188 and X-Y=34; Y+Y+34=188
Pretty easy this one. I.tpok half of 188 and added and subtracted 17 to get 111 and 77
Oh man. I just saw how many people solved the same way I did. sorry. I'll do better next time.
Add the two equations and two unknowns Add x +y + x-y = 188 +34. 2x = 222.
Got it right using logic - what my maths teacher used to call Christian Science!
X + Y = 188
X - Y = 34
So now y is known bc 2nd eq.
X - 34 = Y
Substitute this in first equation
X + X - 34 = 188
2X-34=188
2X=188+34
2X=222
X=111
Y=111-34=77
Check ans.: 111+77=188
There's more than one way to skin a cat . . .😊
Peace
Same - just wait for instructor because of respect - regardless - as my mom said to me once - if the judge is wrong then you can appeal - to correct. Stop and think about it. 😮 If he was wrong - 😢 - then - speak up. Yes, 😊 I see your solution - but - it still is how the instructor, teaches, is the correct way. Learnt this before 1970 when I was in my primary academic. Always respect the instructor. That was why they are hired as a teacher or aka as an instructor. 👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍🙊🙉🙈🕵💥👀🌟
Like the videos, but they're 3 times longer than necessary.
Very basic math calculation using division, subtraction and addition.