A census worker visits the home of a woman. After he knocks on her door, she answers and he can see three kids behind her. He asks about the ages of the children. She says, “The product of their ages is 72. And the sum of their ages is the number on the door.” He checks the door, thinks about it a minute, and then says “I need more information.” She replies, “The oldest one likes strawberries.” He immediately figures out their ages.

How old are the children?