A census taker visits the home of a mathematician and asks for the ages of his children.
The mathematician offers up a riddle, “If you add up the ages of my 3 children you get my house number, and if you multiply the ages you get the result 36.”
The census taker thinks about it and replies he does not know.
The mathematician replies, “My eldest child loves chocolate chip cookies, and he was excited to have siblings.”
The census taker says, “Now I know their ages!”
The mathematician verifies the guess. What are the 3 ages?