Ferman Fink was the host at a Valentine’s Day party last year. In answer to a question from a guest, Ms. Phoebe Beebe, Ferman said, “I have three daughters and I will tell you how old they are. The product of their ages is 72. The sum of their ages is my house number.” Phoebe thought for a few moments. Then she went out and looked at the house number. She came back in and told Ferman that he had not given her enough information to solve the problem. Ferman then said, “Okay, my oldest daughter likes vanilla yogurt.” Phoebe immediately told him the ages of the three girls. Can you do the same? (All ages are whole numbers.)