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If xy > 0, does (x – 1)(y – 1) = 1? (1) x + y = xy (2) x = y

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Intern
Joined: 20 Feb 2012
Posts: 41
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Kudos [?]: 365 [0], given: 6

If xy > 0, does (x – 1)(y – 1) = 1? (1) x + y = xy (2) x = y [#permalink]

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24 Feb 2012, 00:33
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If xy > 0, does (x – 1)(y – 1) = 1?

(1) x + y = xy

(2) x = y
[Reveal] Spoiler: OA
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Joined: 02 Sep 2009
Posts: 37659
Followers: 7411

Kudos [?]: 99824 [1] , given: 11051

Re: does (x – 1)(y – 1) = 1? [#permalink]

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24 Feb 2012, 00:38
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BANON wrote:
If xy > 0, does (x – 1)(y – 1) = 1?

(1) x + y = xy

(2) x = y

If $$xy>0$$ does $$(x-1)(y-1)=1$$?

Question: is $$(x-1)(y-1)=1$$? --> is $$xy-x-y+1=1$$? is $$x+y=xy$$?

(1) $$x+y=xy$$ --> directly gives us the answer YES. Sufficient.

(2) $$x=y$$ --> question becomes: is $$x+x=x^2$$? --> is $$x(x-2)=0$$? --> is $$x=0$$ or $$x=2$$? --> since given that $$xy>0$$, then $$x\neq{0}$$, so the question becomes is $$x=2$$? We don't know that, hence this statement is not sufficient.

Hope it's clear.
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Intern
Joined: 20 Feb 2012
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Kudos [?]: 365 [0], given: 6

Re: does (x – 1)(y – 1) = 1? [#permalink]

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24 Feb 2012, 01:03
thank u BUNUEL for ur instant reply's

after ur explanation's they all seem like sub par questions.
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Re: If xy > 0, does (x – 1)(y – 1) = 1? (1) x + y = xy (2) x = y [#permalink]

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10 Nov 2016, 12:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If xy > 0, does (x – 1)(y – 1) = 1? (1) x + y = xy (2) x = y   [#permalink] 10 Nov 2016, 12:13
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