**Mathematical Puzzle for competitive examinations- **Friends this is a maths puzzle. Solving this type of maths puzzle could be very useful for students taking competitive examinations like CAT, GMAT, etc. Please let me clarify the puzzle is complete and no information in missing. For more such puzzle keep checking back WWW.QUICKERMATHS.COM

### Mathematics Age Puzzle

At a census there is the following dialog:

Field helper: number of children?

Citizen: three!

Field helper: age of Your children in whole numbers?

Citizen: The product of the years is 36.

Field helper: This not a sufficent answer!

Citizen: The sum of the ages equals the

number of the house of our next neighbour.

(Field helper acquires the number.)

Field helper: That is still not a sufficient answer!

Citizen: Our eldest child plays the piano.

Field helper: (after some mental calculations) – Fine, now I know the age of your three children. But it would not have been possible without the last clue.

How old are the three children?

Why are we taking sum equals to 13?

The answer is 6,2,3.

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Abe tum sab chutiye ho kya?

are there really twins?! i just can’t get it

why cant they be 3x3x4. this also gives 2 twins and an elder child. and the product is still 36.

it’s 14 9 or 2 3 6

@ Maheswari –

this statement is important to determine that they are twins – “But it would not have been possible without the last clue”

Last Clue is “Our eldest child plays the piano.”

This clue is required only when the sum is 13. In case of 13 there are 2 possibilities. 1, 6, 6 and 2, 2, 9.

First case be rejected based on the last clue as there is only one elder son.

sir how can u say u want the sum to be 13 only?

Vineet,mohit,shalin had given so many combos,.. but then my doubt is that why should we consider the other two as twins?.. how does this gets justified?my e-mail id is mukeshkatara@gmail.com

@ Maheshwari: It is clear from the following statement that they are twins : “But it would not have been possible without the last clue.”

In all the cases where the sum is distinct (and he knows the sum) he can guess the age of al 3.

Only in case of sum being 13, the last clue is required.

there are 2 possible cases – 1,6,6 and 2,2,9. From the last clue we know that there is only one eldest son and not 2. Hence the ages are 2, 2 and 9

3,,3,4 s also one of the posibilities.

@ Maheswari –

this statement is important to determine that they are twins – “But it would not have been possible without the last clue”

Last Clue is “Our eldest child plays the piano.”

This clue is required only when the sum is 13. In case of 13 there are 2 possibilities. 1, 6, 6 and 2, 2, 9.

First case be rejected based on the last clue as there is only one elder son.

hats offffff……. mohit and shalin..

and thanks for nice puzzle. it actually puzzled me.

BTW Mohit & Shalin your answers were correct. Good work. Keep it up

Answer –

36 = 2^2 x 3^2. If one considers also the one year olds, then there are the following combinations:

1st 2nd 3rd sum

1 1 36 38

1 2 18 21

1 3 12 16

1 4 9 14

1 6 6 13

2 2 9 13

2 3 6 11

3 3 4 10

Only in case of sum 13 there are 2 combinations so we need another hint. But there is an oldest child only if the family has 2 years old twins and a 9 years old child.

I hope you liked the above puzzle

THE AGES ARE 2, 2 AND 9 YEARS.

2,3,6

2,2,9

I guess the ages are 2, 3, & 6.

It looks like elder child must be atleast five years of age to play the piano.

What is the right answer then? 2,3,6 or 3,3,4?

What is the house number of the neighbor?