odd
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Count how many of the numbers are odd. If an odd number of them are odd, then their sum is odd. If an even number of them are odd, then their sum is even.
If the number (count) of odd values to sum is odd, then the answer is odd.If the number (count) of odd values to sum is even, then the answer is even.
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.
The difference of an odd number and an even number is an odd number.
An even number can be a multiple of an odd number OR an even number. An odd number cannot be a multiple of an even number.