An odd number plus an odd number is what kind of number?

An odd number plus an odd number will be an even number.

Odd number A is (even number + 1)

Odd number B is (even number + 1)

A + B = (even number + 1) + (even number + 1) = even number + even number + 2

Since all even numbers are divisible by 2 and 2 is divisible by 2, each part of the result is divisible by 2, so the sum as a whole is divisible by 2, which means it is an even number.