If A and B are two odd positive integers such that a greater than B then prove that one of the two numbers a + b upon 2 and a minus b upon 2 is odd and the other is even.
class 10 CBSE ( is this question deleted or no)??
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Answer:
Therefore, we have that x is an odd positive integer. We know that the sum of two even or sum of two odd numbers is never odd. Thus, it follows that a+b/2 is even when a-b/2 is odd and vice-versa. Hence proved.
Answer:
Therefore, we have that x is an odd positive integer. We know that the sum of two even or sum of two odd numbers is never odd. Thus, it follows that a+b/2 is even when a-b/2 is odd and vice-versa. Hence proved.