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

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If x - y > 10, is x - y > x + y ?  [#permalink]

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New post 21 Nov 2010, 15:44
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If x - y > 10, is x - y > x + y ?

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

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Re: DS: GMAT prep  [#permalink]

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


Can you please explain each statement. Not just the answer.


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.

Answer: D.
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Re: DS: GMAT prep  [#permalink]

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New post 21 Nov 2010, 16:17
thanks for the quick response.
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Re: DS: GMAT prep  [#permalink]

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New post 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

So answer is D.
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If x-y>10, is x-y>x+y ?  [#permalink]

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

(1) x = 8
(2) y = -20
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Re: If x-y>10, is x-y>x+y ?  [#permalink]

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New post 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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New post 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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Re: If x-y>10, is x-y>x+y ?  [#permalink]

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