Question

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

Answer 1

Step-by-step explanation:

We can consider by taking both a and b as even numbers or odd numbers.

I will consider a to be 7(odd) and b to 3(odd).

So, 7+3/2 = 10/2 = 5 (odd)

Also, 7-3/2 = 4/2 = 2 (even).

It is possible with many numbers.

I considered this for simplicity.

Thank you