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# If x - y > 10, is x - y > x + y ?

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Intern
Joined: 25 Jul 2009
Posts: 10
If x - y > 10, is x - y > x + y ?  [#permalink]

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21 Nov 2010, 15:44
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Difficulty:

55% (hard)

Question Stats:

62% (01:39) correct 38% (01:37) wrong based on 169 sessions

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If x - y > 10, is x - y > x + y ?

(1) x = 8
(2) y = -20

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Joined: 02 Sep 2009
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21 Nov 2010, 15:54
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1
vrajesh wrote:
if x - y > 10, is x - y > x + y
(1) x = 8
(2) y = -20

Given: $$x-y>10$$. Question: is $$x-y>x+y$$? --> is $$2y<0$$? --> is $$y<0$$?

(1) $$x=8$$ --> $$8-y>10$$ --> $$y<-2$$, hence $$y<0$$. Sufficient.
(2) $$y=-20$$, hence $$y<0$$. Sufficient.

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21 Nov 2010, 16:17
thanks for the quick response.
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16 Mar 2011, 21:46
On simplfying, it can be seen that the question is asking if y < 0

From (1) 8 - y > 10

=> y < -2, so sufficient

(2) is sufficient too

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Joined: 23 Apr 2010
Posts: 547
If x-y>10, is x-y>x+y ?  [#permalink]

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15 Nov 2011, 07:17
1
If x-y>10, is x-y>x+y ?

(1) x = 8
(2) y = -20
Manager
Joined: 17 Oct 2011
Posts: 224
Location: United States
Concentration: Strategy, Marketing
GMAT 1: 720 Q51 V36
Re: If x-y>10, is x-y>x+y ?  [#permalink]

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15 Nov 2011, 07:30
nonameee wrote:
If x-y>10, is x-y>x+y ?

(1) x = 8
(2) y = -20

From the question -
x-y > x+y
or x-x > y+y
or 0 > 2y
or y < 0

Given that x-y > 10
or y < x-10

so, to answer if we need to know if y < 0 in the equation above y < x-10
if x = 8, then x-10 = -2, this satisfies y < 0
if y = -20, then this also satisfies y < 0

Both A and B alone are sufficient.
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Re: If x-y>10, is x-y>x+y ?  [#permalink]

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15 Nov 2011, 08:04
Is x-y > x+y => Is y<0 ?

Using either statement alone, y is negative, so (D) is the answer.
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Manager
Joined: 09 Nov 2011
Posts: 113
Re: If x-y>10, is x-y>x+y ?  [#permalink]

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15 Nov 2011, 08:16
If we are to find whether x-y>x+y...This comes down to -Y>+Y or Y is negative.
for 1) x=8 and x-y>10 => y<-2 ALWAYS negative.SUFFICIENT.
2) Y=-20 Always Negative. SUFFICIENT.

Both A and B are sufficient independently.
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Re: If x - y > 10, is x - y > x + y ?  [#permalink]

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02 Jul 2018, 21:26
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Re: If x - y > 10, is x - y > x + y ? &nbs [#permalink] 02 Jul 2018, 21:26
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