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Yes, 1+2=3 and since 1 is odd and 2 is even this shows it can happen.

In fact it always does!

If we let an even number be denoted by 2n for some integer n and

and an odd one 2m+1 for some integer m.

Then, 2m+1+2n=2(m+n)+1. Call m+n, p since it is also an integer.

2p+1 is always odd.

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Q: Can the sum of an odd and even number be odd?
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