Puzzle - Three kids - find their ages - Answer

Three kids - find their ages

Solution:
Since the product of their ages is 72 and its sum has to be less than 31 (date of a month), the possible combinations are as follows:
3,3,8
3,6,4
6,6,2
12,3,2
9,2,4
24,3,1
12,6,1
9,8,1
18,4,1

Since, Jack was not able to understand their ages after knowing that the sum of their ages is same as his birth date, that means the the combination has more than one matching sum. So, you need to check for the combinations only till you find combinations having matching sum.

The only such combination is 3,3,8 and 6,6,2 which adds up to 14.

From Jill's statement that the eldest son started going for piano classes, it is clear that there is an eldest son. This rules out the combination of 6,6,2.

So, the answer is 3,3,8