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### Math Puzzles & Brain Teasers

Give and Take View Puzzle Solve Puzzle
 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 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have? Answer: 14 Solution: Jason has 14 balls and Glenn has 10 balls. If Jason would give Glenn 2 balls, they would have an equal number (i.e., 12 balls each). If Glenn would give Jason 2 balls, then Jason would have 16 balls and Glenn would have 8 balls. Thus, Jason would have 2 times as many balls as Glenn. Detailed Solution through Equations: If Jason would give Glenn 2 balls, they would have an equal number. This implies that Jason has 4 balls more than Glenn. If Jason has j balls, then Glenn has (j − 4) balls. If Glenn would give Jason 2 balls, then Glenn would have ( j − 6) balls and Jason would have (j + 2) balls. Now, Jason would have 2 times as many balls as Glenn. This may be written in the form of the following equation. j + 2 = 2 (j − 6) The equation may be solved as follows. 1 j = 2 + 2 × 6 = 14 ; or j = 14 / 1 = 14. Food for thought: Can you solve this puzzle without writing any equations?   Try the Quiz :     Puzzles & Brain Teasers : Give and Take