I need help with the following proof Prove: If each of m and n is an integer, then m+n and m-n are both even if m and n are both even or both odd.
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Originally Posted by noles2188 I need help with the following proof Prove: If each of m and n is an integer, then m+n and m-n are both even if m and n are both even or both odd. hint: even - write as $\displaystyle m=2k$, $\displaystyle n=2l$ [$\displaystyle k,l \in \mathbb{Z}$], then finish. odd - write as $\displaystyle m=2k+1$, $\displaystyle n=2l+1$ [$\displaystyle k,l \in \mathbb{Z}$], then finish.
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