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Answer 2

Think about it. Assume that 1 is the odd number you are adding to an even number. Adding it will take you to the next number - which must be an odd number. If you add it to that number, it will take you to the next number, which now is an even number.

If you use a number larger than 1 the principal is still the same.

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Q: Why is the sum of an odd and even number always odd?
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