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When big Jim stands on a bench that is 15 inches high the top of his head is 53 inches above the top of little jims head. Big jims height is twice that of little Jim. How tall is big Jim?
Let Little Jim's height be ( x ) inches. Then, Big Jim's height is ( 2x ) inches. When Big Jim stands on a 15-inch bench, his height becomes ( 2x + 15 ). According to the problem, the difference in height between Big Jim and Little Jim is 53 inches, so we have the equation: ( 2x + 15 - x = 53 ). Solving this gives ( x = 38 ), so Little Jim is 38 inches tall and Big Jim is ( 2x = 76 ) inches tall. Therefore, Big Jim is 76 inches tall.
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