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It is known that an integer a divides the sum and the difference of two integers n and m, namely a|(n + m) and a|(n

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It is known that an integer a divides the sum and the difference of two integers n and m, namely a|(n + m) and a|(n - m). Does it follow that a divides n, if it is also known that: (a) a is even? (b) a is odd

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