SOLUTION: Let x and y be integers such that x+y and y/x are both odd integers. Which is true about x and y? choose the answer and explain the reason to choose your response x i

Question 478982: Let x and y be integers such that x+y and y/x are both odd integers. Which is true about x and y?

choose the answer and explain the reason to choose your response
x is prime
The situation is impossible
y is odd
y>x

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The situation is impossible.
x + y odd ==> x, y must have different parities, i.e., x = odd and y = even, or x = even and y = odd. (If they have the same parity, then the answer is always even.)
Now suppose x = odd and y = even. But , even though the quotient may be an integer (e.g., 90/15 = 6). Hence this situation is impossible.
If x = even and y = odd, then , which will never produce an integer.
Hence the situation is impossible.
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