Lynn is 5 years younger than Tom. In 6 years, Lynn will be 3/4 as old as Tom. How old is Lynn now?
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- Опубликовано: 8 сен 2024
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Ages now are Tom X and Lynn X - 5
and in 6 years the equation will be
(X - 5) + 6 = 3/4 (X + 6)
X + 1 = 3/4X + 18/4 multiply everything by 4
4X + 4 = 3X + 18 subtract 3X from both sides
X + 4 = 18 subtract 4 from both sides
X = 14 so Tom is 14 and Lynn will be 14 - 5 = 9
9 is not 3/4 of 14
@@gerryb5578No but in 6 years Lynn will be 15 and Tom will be 20.
15/20 = 3/4. The question asks “ how old is Lynn now?”, that is before the 6 years have elapsed.
15 - 6 = 9
@@gerryb5578 Reading it again I think I must have written my answer in a way that must have been confusing for some people.
It should have said .. so, Tom is 14 and Lynn is 14 - 5 = 9 now.
Which is what the question asked.
@@gerryb5578 - No, but in 6 years, that 9 will be 15 and she will be a knockout!
Haven't watched vid, or read comments but here goes:
She is, and always will be 5 years younger.
At some future point she will be 3/4 his age. That 1/4 difference will be that same five years. Therefore 20 for him, 15 for her.
That's in six years, so subtract six for current ages.
It's a maths channel. I'll leave that for the reader, or maybe this guy can do a 15 minute video on 15 minus 6. Probably take him longer, to be honest.
Thumbs up if I just saved you 20 minutes or thereabouts.
Thank you for these word problems... always challenging for me!
Now let's say: Lynn's age = X and Tom's = X + 5. :) Then we get: X + 6 = 3/4 (X + 5 + 6) => X + 6 = 3/4 X + 33/4 => 1/4X + 6 = 33/4. Multiply everything by 4 (LCD): X + 24 = 33 => X = 9. So Lynn is 9 and Tom is 9 + 5 = 14 now. After 6 years Lynn is 15 and Tom 20. 3/4 x 20 = 15, so this is correct.
Why can't I just ask Lynn how old she is now?
Certainly still too young for you. You have to wait for at least another 9 years. :)
See Mr Mousley equation, depends on interpretation😊
that was another fun one. thanks.
I am a big fan of your videos, I am from Germany. You make it so easy to understand, and you also have an honest and authentic voice!
I have long believed that every person is a genius. The path to ourselves and to knowledge usually requires a good guide, formerly known as a master.
It would be great if you could address the psychological aspect of learning in mathematics itself. I have seen people who were never good before, and some spark in life changed everything.
From your experience, could you perhaps share some insights and delve into the required "mindset," which is essentially the foundation?
For example, in math, one should have:
- Patience
- Routine
- Discipline
- Tolerance for mistakes
- Adopting different perspectives (from 2-3 different teachers)
- Having the right expectations
- Learning is not linear but rather a gradual ascent...
Thank you very much!
............
I went with NOW: Lynn = x, Tom = (x+5).
I used the 4 times table. Tried Tom being 12, then 16, then 20, then took off 6 years. 9 and 14 now
{Equation 1} Lynn = x - 5
{Equation 2} Lynn = 6 × 3÷4
Therefore... x-5 = 6 × (3÷4)
Therefore....x = 6 x (3÷4) + 5
Therefore....x = 4,5 + 5
x = 9,5
Therefore Lynn's will be 9 & a half years old.
I think classical music was made from year of 1,060 to year of 1,977.
Let Tom = x ; Lynn=x-5 then set (x-5)/x=3/4 solved for x=20; therefore Lynn's age 6 years hence is (x-5)-6 which is 20-11=9 Lynn's current age
Confused - where is everyone coming up with the "x=20 as in Tom 20part of the problem. Thanks
I let x equal Tom's current age, since Lynn's age is 5 years less then Lynn equals x minus 5. Then I expressed their current ages as a ratio: Lynn's age divided by Tom's age; their current ages (Lynn to Tom) are currently equal to the ratio 3 divided by 4. I then solved this equivalency for x (Tom's current age). At least that' s how I arrived at 20. @@pollyanna1112
I used algebra to solve this, too. But I did it in a completely different way. I subtracted 3/4x from both sides, then subtracted 6 from both sides. I ended up with 1/4x - 5 = 0. I then added 5 to both sides and got 1/4x = 5. Then I multiplied both sides by 4 and ended up with 20.
I subtracted 5 from 20 to get 15, which is Lynn's age six years into the future. 15 - 6 gave me Lynn's present age of 9.
Why dont you use T For Toms age instead of x?
When is now?
Say less. Over explaining. Way too much talking throughout the entire video. I didn’t think he’d ever get to working it & the answer. Explain it as you work it. Would take half the time & still understood.
An explanation in a field of rabbit holes. Now could you please hand me my crutches.
Agree. Omg even he says 'oh i didntt explain that too gracefully.!! '
He never answers this type of comment. He rambles because it makes a longer video and hence more money.
I did consider that too, wasnt sure he was that smart....
5×,6=30 30-3/4=27/4=6.3 6+3=9
Would hate to be a student in his class room would have to wear ear plugs
Dam… John, think these story problems through. This does not compute,,, “In six years Lynn will be 3/4 as old.” As old as what? How about establishing a test group before publishing your story problems. Way too many have faults.
It says ''as old as Tom'' on my screen .. if you read the line underneath.
Lynn is 9 years old now.
Lyn is 9 years old now.
9 worked out in my head.. No formulas required..
Same but I mean I’m an adult, I think this channel is tailored to grade school students 😅
Lynn is 9 years old.
15years old
Lynn is 15& Tom 20 years
Not quite. They said how old is she NOW, Lynn is 9 :) because 6 six years from 9 would be 15. So you’re half right!
He is 14 now in 6 years he will be 20 ,and she is 9 years old now therefore she will be 15 years old 6 years from now.
18:16
Since we are looking for a ratio 3/4 toms age in 6 yrs. If shes 1 now she'll be 7 then...tom will be 12 not 3/4 ratio...8&13? No, 9&14, no. 10&15, no, 11&16 no,...15&20 YES 3/4 ratio! She'll be 15 in 6 yrs, she's 9 now. Took 30 seconds to derive that in my head.
I worked it from the youngest birth date. Lynn was born when Tom was 5y old. Since working with quarters 5x4=20. When Tom is 20 Lynn would be 15....that would be 3/4 of Tom's age in 6 years. So their ages now is 20 -6 = 14 (Tom) and 15-6 = 9 (Lynn) . This is purely (logical) maths, no algebra..😊
If she'll be 3/4 of Tom's age when he's 20, and the difference is 5, that means 3/4x5 is 15. Substract 6 and tou get 9. Anything else is overcomplicating things in this situation.
What made you decide to think Toms age when he is 20 as opposed to any other number ?
@pollyanna1112 I didn't, the avaulable data did. It says in six years time Lynn's age will be 3/4 of Tom's and we know the gap is 5 years, hence 1/4 of Tom's age (in six years) is 5 years, hence his age is 20. Substract 5 for the gap and 6 to get back to present days and you get Lynn's age to be 9. Perhaps I'm not explaining things too clearly since English isn't my first language, but in my head it's pretty obvious.
(11 / 3) x 4 = Tom’s age
Toms age - 6 = Lynn’s
8.666 years ! 😊
In an exm youd get 5 mins for this problem...
9 in very short order.
How can Lynn be 9 that isn't 3/4of 15 ?
Tom's age is 14, now.
Lyn's age is 9, now.
In 6 years, it means after 6 years.
After 6 years Lyn will be 15, 9+6
Tom will be 20, 14×6
15÷20=3/4
9 y.
L=9
T=14
9
9 - used excel
Tom too old at 30, also at 15! However Tom too young at 10, 11,12 and 13!
Hmmm....Tom is 14 and Lynn is 9 years old now! In 6 years Tom is 20 and Lynn is 15!
His poor, poor pupils! Drone drone drone...
Do not subscribe like or share to this vlogger, too much introduction
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