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# If x is not equal to y, does x/(y-x) = 1?

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Joined: 25 Nov 2011
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If x is not equal to y, does x/(y-x) = 1?  [#permalink]

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26 Feb 2012, 00:30
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55% (hard)

Question Stats:

63% (01:50) correct 37% (01:49) wrong based on 295 sessions

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If x is not equal to y, does x/(y-x) = 1?

(1) |x| = x - y

(2) x^3 < 0

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-Aravind Chembeti
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Re: If x is not equal to y, does x/(y-x) = 1?  [#permalink]

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26 Feb 2012, 00:42
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If x is not equal to y, does x/(y-x) = 1?

Is $$\frac{x}{y-x}=1$$? --> is $$x=y-x$$? --> is $$2x=y$$?

(1) |x| = x - y --> if $$x<0$$ then $$-x=x-y$$ --> $$2x=y$$, so in this case the answer is YES but if $$x\geq{0}$$ then $$x=x-y$$ --> $$y=0$$, and since $$x\neq{y}$$ (given) then $$2x\neq{y}$$, so in this case the answer is NO (if $$y=0$$ then in order $$2x=y$$ to hold true $$x$$ must also be 0, but we are told that $$x\neq{y}$$ so if $$y=0$$ then $$2x=y$$ is not possible). Not sufficient.

(2) x^3 < 0 --> $$x<0$$. No info about $$y$$. Not sufficient.

(1)+(2) Since from (2) $$x<0$$ then we have the first case from (1) $$2x=y$$. Sufficient.

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Re: If x is not equal to y, does x/(y-x) = 1?  [#permalink]

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06 Mar 2016, 23:44
hi if we simplify |x| as sqrt x^2 and then square both sides, then statement 1 leads us exactly to y=2x which converts the asked eqn to 1/1Bunuel VeritasPrepKarishma
can you pls tell me why is this wrong?
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Re: If x is not equal to y, does x/(y-x) = 1?  [#permalink]

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18 Jul 2017, 00:13
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Re: If x is not equal to y, does x/(y-x) = 1?   [#permalink] 18 Jul 2017, 00:13
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