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Prove that the sum of two odd numbers is...

Prove that the sum of two odd numbers is even.

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The correct Answer is:
Let x and y be two odd numbers. Then x = 2m + 1 for some natural number m and y = 2n + 1 for some natural number n.
x + y = 2 (m + n + 1). Therefore, x + y is divisible by 2 and is even.
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