Have your students try to solve this problem: At a party, a guest asks the host the ages of his three daughters. The host replies that the product of their ages is 72 and the sum of their ages is the same as the house number. The guest checks the house number and returns to the host. "You have not given me enough information." The host replies, "The oldest daughter likes strawberry pudding." With that the guest announces the ages of the daughters. What are the ages and how did the guest figure them out?

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