Question: 4 / 5 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?

(1) Answers

There are a lot of possibilities of three natural numbers that have a product equal to 72. In this case, the problem says that there is still not enough info given which may be that there is a duplicate in the ages of the kids. The two possibilities are 2,6,6 and 3,3,8. Since there is a youngest, then there is no way the second is possible because there are 2 "youngers". Hence the answer is ages 2,6 and 6.

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