I stumbled across this problem in my math textbook and found it really interesting.
Here’s what it says:
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? (The problem requires “reasonable” mathematical interpretations of its words.)
See if you can solve the riddle of the three daughters. No cheating/looking up the solution on the net! The strangeness of the problem may be daunting at first, but with enough logical reasoning, you’ll be able to arrive at an answer!
(I’ll post a solution if enough people take a stab at it)