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