SOLVE THIS Age Puzzle.......

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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  our house.

(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?

Replies (31)

ONLY IF U GIVE ME THE NUMBER OF THE HOUSE.. I'L BE ABLE TO TELL U THE ANSWER

three childern ages are:  9, 12, 15 yrs

Anil Sharma                                                                                                                                                        9990887515

GAYATRI JEE THAT'S THE TRICK..........ANYBODY WILL BE ABLE TO TEEL AFTER GETTING THE HOUSE NO.......TRY U CAN SOLVE THIS....

ANIL JI PLEASE TELL ME HOW COME THE PRODUCT OF 9,12 & 15 IS 36.

9*12*15=1620. YOUR ANSWER IS WRONG.

ur ans is 2,3,6

ROHIT JI YOUR ANSWER IS NOT CORRECT. PLEASE GIVE LOGIC FOR YOUR ANSWER........

WHY IT CANT BE 3,3,4 OR 9,4,1 OR 18,2,1 ETC
 

Sanjay Ji, 

It's not product. As per Citizen reply :"The sum of the ages equals the

number of  our house."

and the sum of 9+12+15 = 36

Anil Sharma

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.

Maheshwari

WELL DONE DEAR............YOUR ANSWER IS ABSOLUTELY CORRECT...............

LAST HINT WAS MOST IMPORTANT......

Hi Sir,

Nice question...........!

I couldn't linked the answer with the no. of houses & piano clue....but I think answer is 6 yrs, 3 yrs & 2 yrs.....

Dear Anil sir,

I think u slightly misread the question it says the  product of the ages is 36 & not the sum of ages....:)

Maheswari Mam 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?

the answer by maheshwari is correct

Originally posted by : Amir

Hi Sir,

Nice question...........!

I couldn't linked the answer with the no. of houses & piano clue....but I think answer is 6 yrs, 3 yrs & 2 yrs.....

Dear Anil sir,

I think u slightly misread the question it says the  product of the ages is 36 & not the sum of ages....:)

Mr. Amir, sorry ....if i m not wrong it is not "No. of Houses" but No. of "House" meaning thereby house No.

dear gayathri

 please Read this line Citizen: The sum of the ages equals the

number of  our house.

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