[" dd positive integers such that a "b" ,then prove that on "],[(a-b)/(2)" is odd and the other is even."]

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

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

If a and b are two odd positive integers such that a>b. Then prove that one of the two numbers (a+b)/2 and (a-b)/2 is odd and other is even.

Let a and b be integers By the law of contrapositive prove that if ab is even then either a is even or b is even.

If n is an odd integer, prove that n^(2) is also an odd integer.

If a, b, c and d are four positive real numbers such that sum of a, b and c is even the sum of b,c and d is odd, then a^2-d^2 is necessarily

If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)^((n-1)//2)(a-b)dot

If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)^((n-1)//2)(a-b)dot

If a>b and n is a positive integer,then prove that a^(n)-b^(n)>n(ab)^((n-1)/2)(a-b)