Question

prove for all integers n and m that if n and m are odd, then n+m is even

Answer 1

Since n and m are odd so
n=2k-1
m=2p-1
n+m=2k-1+2p-1

n+m=2(k+p)-2
n+m=2(k+p-1)

Answer 2

Since n+m has 2 as a factor so n+m is even

Answer 3

Thank you jiteshmeghwal9