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Math Help - Integer Proof

  1. #1
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    Integer Proof

    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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  2. #2
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    Quote Originally Posted by noles2188 View Post
    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 m=2k, n=2l [ k,l \in \mathbb{Z}], then finish.

    odd - write as m=2k+1, n=2l+1 [ k,l \in \mathbb{Z}], then finish.
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