Latest M4maths Aptitude Question SOLUTION: Two old friends, Jack and Bill, meet after a long time. Three kids Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now. Jack: That’s awesome. How ol

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(#M40035040) M4MATHS Numerical Ability question age Keep an EYE

Two old friends, Jack and Bill, meet after a long time.

Three kids
Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now.
Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.
Jack: Cool… But I still don’t know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh now I get it.

How old are Bill’s kids?

Asked In M4maths Subrata Patra (10 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Ann Theressa  (10 years ago)

Product of the 3 ages must be 72.
The sum of their ages is also known.Still Jack is not able to calculate the ages of the 3 kids.This implies more than one case gives product 72 and sum the same value.
ie the values are
===> (2,6,6) and (3,3,8)
Both their product = 72 and sum = 14

Given the eldest kid just started taking piano lessons.
So they are 3,3 and 8 years old.(there should be an eldest kid. so 2,6,6 is not their age)

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Ann Theressa  (10 years ago)

3,3 and 8 years old

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Ann Theressa  (10 years ago)

@Saraswathy
We dont know his birth date but he knows.

Let us say x,y, and z are their ages and sum of their age s
x*y*z = 72
x+y+z = s

If we take x = 2, y=4 and z = 9
s = 2+4+9 = 15
For no other values of x, y and z the sum is 15(product must always be 72)
So if Jack's birth date is 15, he would be sure that the ages of Bill's kids are 2,4 and 9.But He still couldn't calculate the ages of kids.So his birth date is not 15.

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Divyasri  (9 years ago)

the product of the ages are 72
so, the three ages are factors of 72
piano classes start at above 5 years children
so, we start from 5
5 is not a factor of 72
so, we go for 6
after divide 72 with 6, remaining 12
eldest kid age-6
remaning two kids age-3 &4
so, kids ages are:3,4&6

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Saraswathy  (10 years ago)

(2,4,9) is also possible...

We cannot determine as we don't know Jack's birth date...

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Saraswathy  (10 years ago)

Thank you @Ann... Now am getting...

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Govind patiadr  (9 years ago)

3,3,8

Lets break it down. The product of their ages is 72. So what are the possible choices?

2, 2, 18 sum(2, 2, 18) = 22
2, 4, 9 sum(2, 4, 9) = 15
2, 6, 6 sum(2, 6, 6) = 14
2, 3, 12 sum(2, 3, 12) = 17
3, 4, 6 sum(3, 4, 6) = 13
3, 3, 8 sum(3, 3, 8 ) = 14
1, 8, 9 sum(1,8,9) = 18
1, 3, 24 sum(1, 3, 24) = 28
1, 4, 18 sum(1, 4, 18) = 23
1, 2, 36 sum(1, 2, 36) = 39
1, 6, 12 sum(1, 6, 12) = 19

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

2, 6, 6 sum(2, 6, 6) = 14
3, 3, 8 sum(3, 3, 8 ) = 14

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.it is right

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CHENNA BAIGANI  (10 years ago)

ms theresa can u explain ur answer?

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nirmal kumar saini  (10 years ago)

@ann theressa thanks yar, for solution

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sruthi  (10 years ago)

3,3,8 is the answer

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BeathaRajitha  (10 years ago)

2,3,12 is also possible

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DEBASIS  (9 years ago)

3,3,8
since
the instances of 72 are........
we can get it frpm final clue

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prabandh  (8 years ago)

dkcmdkmcdkmcdkmcs

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