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Because the sum of two odd numbers is always even and the sum of that even number plus another odd number is always odd.

Q: Why is the sum of three odd numbers always odd?

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If you mean "the sum of three odd numbers", that isn't possible. The sum of three odd numbers will always be an odd number.

The sum of two odd numbers is always even.

That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).

The sum of two odd numbers is always even.

The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.

Related questions

The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc

No, the sum of three odd numbers will always be odd.

If you mean "the sum of three odd numbers", that isn't possible. The sum of three odd numbers will always be an odd number.

The sum or product of three odd numbers will always be odd.

I guess you want three odd numbers that, when added, give a sum of 30. That is not possible: if you add three odd numbers, the sum will always be odd.

The sum of three whole odd numbers will always be odd keeping in mind that zero is neither even nor odd and that 'null' is not a number.

The sum of two odd numbers is always even.

That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.That can't be solved. The sum of five odd numbers will always be an odd number.

That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).

The sum of two odd numbers is always even.

The sum of two odd numbers is always an even number

The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.