Question

Tom and Jim are distant cousins who meet during their family Thanksgiving meal. Tom tells Jim that he has 3 kids, and the product of their ages is 72. He also tells him the sum of their ages. Jim says he still can’t correctly guess the ages of Tom's kids. Finally, Tom says, "My youngest child's name is Joy." Jim can then correctly guess. What are the ages?

Answer 1

I'm just guessing because there isn't much data, but the ages could be:
1, 8, and 9
3, 3, and 8
1, 8, and 9
1, 6, and 12
2, 3, and 12
3, 4, and 6
2, 4, and 9
(These aren't all the possible ages)