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# If x and y are integers, is y an even integer? (1) 2y x =

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Manager
Joined: 03 Oct 2008
Posts: 61
If x and y are integers, is y an even integer? (1) 2y x = [#permalink]

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09 Oct 2008, 06:34
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x and y are integers, is y an even integer?
(1) 2y – x = x^2 – y^2
(2) x is an odd 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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Joined: 05 Jul 2006
Posts: 1741
Re: interger x and y [#permalink]

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09 Oct 2008, 06:43
[quote="albany09"]If x and y are integers, is y an even integer?
(1) 2y – x = x^2 – y^2
(2) x is an odd integer.

from 1

2y – x = x^2 – y^2 ,

2y+y^2 = x^2 +x

y(2+y) = x(x+1) 2 consecutive intigers = even

thus

y(2+y) = even , ( 2y+y^2) is even, only even + even or odd+odd = even, since 2y is even thus y^2 is even too, therfore y is even..suff

FROM 2

INSUFF

A
Re: interger x and y   [#permalink] 09 Oct 2008, 06:43
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# If x and y are integers, is y an even integer? (1) 2y x =

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