Question

A census taker stops at a house, notes down the number on the door, and knocks....

A census taker stops at a house, notes down the number on the door, and knocks. When a woman answers, he asks her age and notes the answer. Then he asks if anyone else lives at the house. She replies that three children live with her. Upon asking their ages, the census taker is told that the sum of their ages equals the number on the door and that the product of their ages equals 72. The census taker responds by saying he needs more information. The woman says that her oldest
child loves chocolate milk. The census taker then records the children's ages and walks away. What are the childrens’ ages?

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