A pizza delivery man named Mario (who also happens to be a mathematician) arrives at a house with a stack
of pizzas and rings the doorbell. Mr. White, the owner of the house, opens the door. Mario hears several
children inside playing together noisily. "Big family!" Mario says. "It's a birthday party. My children
are playing with friends from three other families." Mr. White replies. "My wife and I have the most
children, followed by the Browns, the Greens, then the Reds. Each family has a different number of
children." Mr. White adds.
"How many children are in there?" Mario asks. "Fewer than 18 and the product of the number of children
in each of the four families is the same as our house number." Mr. White answers with a grin. Mario looks
at the house number and does some calculations on his notepad. "That's not enough information. Is there
more than one child in the Red family?" Mario inquires. When Mr. White replies, Mario correctly states
the number of children that are there. So how many children are there?
Do you have a suggestion
for this puzzle (e.g. something that should
be mentioned/clarified in the question or solution, bug, typo, etc.)?