Archived Stumpers (with solutions)
STUMPER #1.10: SHADOW MATH
(Did you solve something differently? There's almost always more than one way to solve
a math problem. Sometimes there's even more than one correct solution!)
Return to this week's stumpers View all archives Return to Math Gym home
______In the magical world of Shadowland, shadows can talk. People in that world always tell the truth, but shadows always lie. From behind a fence you hear two voices arguing. One says “You are a lying shadow.” The other says “You are a lying shadow.” Do the two voices belong to people, shadows, or one of each?
One of each. If the first one is a person (telling the truth), then the second must be a lying shadow. If the first one is a shadow (telling a lie), then the second must be a person (telling the truth).