I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.
3 kids, has a youngest child - means that the 3 kids have different ages.
I performed a prime factorization on 72.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Possible age combination:
1 x 8 x 9 = 72
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 6 x 12 = 72
1 x 4 x 18 = 72
