A census taker interviews a woman in a house.
"Who lives here?" he asks.
"My husband and I and my three daughters," she replies.
"What are the ages of your daughters?"
"The product of their ages is 36 and the sum of their ages is the house number."
The census taker looks at the house number, thinks, and says,
"You haven't given me enough information to determine their ages."
"Oh, you're right," she replies, "Let me also say that my eldest daughter is asleep upstairs."
"Ah! Thank you very much!"
What are the ages of the daughters?
This problem is out of my Fundamental Mathematics book. It is not one I had to do for homework but it is almost exactly like one I had to do for homework. It is not impossible and I think these kind of logic problems are extremely fun so I thought I'd share it with Classic Brian. I would really really love if anyone tried it. Also I would like to take a moment to say that you have no idea what you're getting into when you pick a major at 17. I just spent 4 hours on one math assignment. LoVe It!!! <3!
P.S For anyone who cares, I will post the answer to this in a comment next Tuesday.