A census taker approaches a house and asks the woman, "How many children do you have, and what are their ages?"
Woman: "I have three children. The product of their ages is 36, and the sum of their ages is equal to the house number of the house next door."
The census taker checks the house number, then says, "I need more information."
Woman: "My oldest child is sleeping upstairs."
What are the ages of the three children?