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

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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) About Me  (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 y%2Fx+=+even%2Fodd+=+even, 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 y%2Fx+=+odd%2Feven, which will never produce an integer.
Hence the situation is impossible.