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### Math Puzzles & Brain Teasers

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 Hide all answers   View all answers   Print   Try the Quiz 1. Glenn and Jason each have a collection of tennis balls. Glenn said that if Jason would give him 6 of his balls they would have an equal number; but, if Glenn would give Jason 6 of his balls, Jason would have 3 times as many balls as Glenn. How many balls does Jason have? Answer: 30 Solution: Jason has 30 balls and Glenn has 18 balls. If Jason would give Glenn 6 balls, they would have an equal number (i.e., 24 balls each). If Glenn would give Jason 6 balls, then Jason would have 36 balls and Glenn would have 12 balls. Thus, Jason would have 3 times as many balls as Glenn. Detailed Solution through Equations: If Jason would give Glenn 6 balls, they would have an equal number. This implies that Jason has 12 balls more than Glenn. If Jason has j balls, then Glenn has (j − 12) balls. If Glenn would give Jason 6 balls, then Glenn would have ( j − 18) balls and Jason would have (j + 6) balls. Now, Jason would have 3 times as many balls as Glenn. This may be written in the form of the following equation. j + 6 = 3 (j − 18) The equation may be solved as follows. 2 j = 6 + 3 × 18 = 60 ; or j = 60 / 2 = 30. Food for thought: Can you solve this puzzle without writing any equations?   Try the Quiz :     Puzzles & Brain Teasers : Give and Take