This is one of my all time favorite problems to give to students.
Determine the ages of Alfie's children from analyzing the following conversation.
Alfie: Can you guess the age's of my children? The product of their ages is 36.
Bernice: That's not enough information.
Alfie: The sum of their ages is the same as our street address.
Bernice: I'll need a little more info.
Alfie: My oldest is a girl.
Bernice: Okay, I've got it.
pic by Alain Gree