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If the positive integer \(n\) is added to each of the integers \(69, 94,\) and \(121,\) what is the value of \(n?\)

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If the positive integer \(n\) is added to each of the integers \(69, 94,\) and \(121,\) what is the value of \(n?\)

(1) \(69 + n\) and \(94 + n\) are the squares of two consecutive integers.
(2) \(94 + n\) and \(121 + n\) are the squares of two consecutive integers.

Answer: D

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