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Even plus even equals even.

Odd plus odd equals odd.

Odd plus even equals odd.

13 + 45 (odd plus odd) will be even.

Even plus 24 will be even.

Even plus 17will be odd.

13 + 45 + 24 + 17 will be odd.

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Q: How can you determine whether the sum of several numbers such as 13 plus 45 plus 24 plus 17 is even or odd without actually calculating the sum?
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