Question

proof the sum of two odd numbers is even

Answer 1

↑ Here is your answer ↓
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Let 'x' be an even number,

Then 'x+1' and 'x+3' are surely odd numbers :)

$x+1+x+3$

$=2x + 4$

$= 2(x+2)$

Since the resulting number is divisible 2, it's an even number

Hence proved.

Answer 2

Given:-Two odd numbers
To prove:-Sum of the two odd numbers is even.
Proof:-An odd number is an integer which is not a multiple of two.
So,let the odd number be 5.
Thus,5+5=10
Since 10 is an even number therefore it is proved that sum of two odd numbers is even.
Hence Proved