If a and b are two odd positive integers such that ab, then how do we prove that one of the two numbers (a+b)/2 and (a-b)/2 is odd and the other is even?

Question

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

Vikas TU · Answer

Take a = 5 and b = 3 such that a>b Now, (a+b)/2 = (5+3)/2 = 4 which is even and (a-b)/2 = (5-3)/2 = 1 which is odd hence proved! plz approve!

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

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

1 Answers

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Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

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