Question

1. If a and bare two odd positive integers such that a > b, then prove that one of the two
b
numbers a+b /2 and a-b/2 is odd and the other is even.
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Answer 1

Answer:

let a= 5 and b=3 (a>3)

a+b/2 = 5+3/2 = 4 that is even

a-b/2= 5-3/2 = 1 that is odd.