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.