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Yes!
Let's think about it. If we let x = any odd number. Then any other odd number could be written as x+2y or in other words x+(some multiple of 2 let's say 2y).
If we add the original odd number x, and the new odd number x+2y then we get
x + x + 2y, which is 2x + 2y! Using a little bit of factoring we get 2(x + y), which implies that we are multiplying by 2 which will always result in an even number.
Why does multiplying by 2 imply that the number is even? Well that would mean that the final product is divisible by 2, which would make that number by definition even.
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Is the sum of two odd numbers is always odd?
The sum of two odd numbers is always even.
Is the sum of 2 odd numbers always even?
Two odd numbers are always even
Is the product of two odd numbers odd or even?
The product of two odd numbers is always odd.
Will the sum of two odd numbers be even or odd?
The sum of two odd numbers is always even.
Why is the sum of three odd numbers always odd?
Because the sum of two odd numbers is always even and the sum of that even number plus another odd number is always odd.
