Question

if a and b are two natural numbers and if (a+b) is even , prove that (a-b) also even

Answer 1

Answer:

if we take 2 number whose sum is even whose difference is also even

see 5+3=8

5-3=2

4+2=6

4-2=2 similarly

the sum of 2 no. is even so it is necessary that its difference is even