Respuesta :

EXPLANATION :

We need to prove that an odd number plus an odd number is an even number.

Note that an odd number can be written as (2x + 1)

From the problem, we have two odd numbers :

[tex](2m+1)+(2n+1)=\_m+\_n+\_[/tex]

Simplify the expression :

[tex](2m+1)+(2n+1)=2m+2n+2[/tex]

Factor out 2 :

[tex]=2(m+n+1)[/tex]

Note that any number multiplied by 2 is always an even number.

Therefore, the sum is even.