Bob and mark talk about their families. bob says he has 3 kids, the product of their ages is 72. he gives another clue: the sum of the ages of his children. mark points out that there is still not enough information to accurately guess. finally, bob says, "my youngest child called justice." mark can then correctly determine the ages of bob's children. what are the ages?

We know that the product of these ages is 72. So what I did is to make a table of guessed ages of the 3 children where the product is 72. I, then added these ages. If it was given, it would be easy to answer the question. Mark pointed out that this information still is not enough. That would mean that there are 2 guesses where the sum is the same. That is 2, 6, 6 and 3, 3, 8. The answer is 2, 6,6 because Bob said "My youngest child called Justice." This would signify that there is only one youngest son. 

The answer would be 484