Question

If a and b are 2 odd positive integers such that a>b, then prove that one of the two no. a/2+b/2 and a/2-b/2 is odd and the other is even

Answer 1

Answer:

a/2+b/2 is even number and a/2-b/2 is odd number.

Step-by-step explanation:

Let us consider the number be 5 and 3 as the value of a and b respectively as a>b,

a/2+b/2 = 5/2+3/2 = 2.5+1.5 = 4.0 which is a even number.

a/2-b/2 = 5/2-3/2 = 2.5 - 1.5 = 1, which is odd number,

Hence, it is  proved that a/2+b/2 is even number and a/2-b/2 is odd number.