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jamifahad
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X+2Y = b (where b is an integer)
X+Y = a (where a is also an integer)

subtracting the above y = b-a, and b-a has to be an integer as b and a are both integers.

B is sufficient.
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For B:

what if x = 3.7 and y = 2.3

x + y = integer
x + 2y = not integer

what if x = 3 and y = 2

x+y = integer
x=2y = integer

Shouldn't B also be insufficient?
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OOOOPPSS never mind! I figured it out haha.
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If x + y is an integer, is y an integer?

(1) x – y is an integer --> if x=y=0.5 then the answer to the question is NO but if x=y=1 then the answer to the question is YES. Not sufficient.

(2) x + 2y is an integer --> x+2y=(x+y)+y=integer. Since given that x+y=integer, then: integer+y=integer --> y=integer. Sufficient.

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-x-y-is-an- ... 28412.html
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