A mathematician threw a party. She told her guests, “I have a riddle for you. I have three daughters. The product of their ages is 72. The sum of their ages is the same as my house number. How old are my daughters?” The guests went outside to look at the house number. They thought for a few minutes, and then said, “This riddle can’t be solved!” The mathematician said, “Oh yes, I forgot to tell you the last clue. My youngest daughter prefers strawberry ice cream.” With this last clue, the guests could solve the riddle. How old are the mathematician’s daughters?