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# If x + y is an integer, is y an integer? (1) x y is an

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Manager
Joined: 10 Oct 2008
Posts: 56
If x + y is an integer, is y an integer? (1) x y is an [#permalink]

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05 Nov 2008, 19:56
If x + y is an integer, is y an integer?
(1) x – y is an integer.
(2) x + 2y is an integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Intern
Joined: 14 Sep 2003
Posts: 45
Location: california
Re: x and y (30) [#permalink]

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05 Nov 2008, 20:31
picking some non-integers to fulfil the 1st equiation, say 3.5 and 1.5..the sum equals 5.

But (1) says x-y is also an integer. Ok, 3.5 - 1.5 is 2..but wait a sec, what if x = 1.8 and y = 1.2. It fulfils the fact the x+y is an integer(3), but x-y is not an integer(1.8-1.2 = .6). So A is out and so is D

(2) gives us a little more. rewriting (2), (x+y) + y is an integer. We are told x+y is an integer, so y has to be an integer.

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Re: x and y (30)   [#permalink] 05 Nov 2008, 20:31
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# If x + y is an integer, is y an integer? (1) x y is an

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