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.