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# If x+z=y, is x>y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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14 Apr 2017, 06:34
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Difficulty:

45% (medium)

Question Stats:

68% (01:20) correct 32% (01:11) wrong based on 134 sessions

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If x+z=y, is x>y?

1) y>0
2) z<0

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Re: If x+z=y, is x>y?  [#permalink]

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14 Apr 2017, 09:36
1
1
MathRevolution wrote:
If x+z=y, is x>y?

1) y>0
2) z<0

is x > y? i.e. is x - y > 0

x+z = y
x-y = -z

so question becomes is z < 0 ? because if x-y < 0 then x - y will be +ve.

Stmt - 2 exactly tells you z < 0.
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Re: If x+z=y, is x>y?  [#permalink]

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14 Apr 2017, 09:47
HKD1710 wrote:
MathRevolution wrote:
If x+z=y, is x>y?

1) y>0
2) z<0

is x > y? i.e. is x - y > 0

x+z = y
x-y = -z

so question becomes is z < 0 ? because if x-y < 0 then x - y will be +ve.

Stmt - 2 exactly tells you z < 0.

Nicely explained here! I tried putting in values for X, Y and Z. Took much more time to solve that way
Math Revolution GMAT Instructor
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Re: If x+z=y, is x>y?  [#permalink]

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16 Apr 2017, 17:28
==> If you modify the original condition and the question, you get x>y?, x-y>0? Or –z>0? Or z<0?. Thus, from con 2), it is always yes and sufficient.

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Re: If x+z=y, is x>y?  [#permalink]

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03 Oct 2017, 21:50
MathRevolution wrote:
If x+z=y, is x>y?

1) y>0
2) z<0

x+z = y

So, if z>0 , x+z add upto y (for all values of y) and hence x<y

if z<0, x+z = x -|z| = y (for all values of y) and hence x>y

Statement 1 : y >0. it doesn't matter if y<0 or y >0
NOT SUFFICIENT

Statement 2: z<0 . Yes if this is the case then x>y as explained above.
SUFFICIENT

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Re: If x+z=y, is x>y?  [#permalink]

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13 Dec 2017, 05:06
st 1) y>0 , x + z= 1,2,3.... NS

2) x - 1 = y (z <0) --> x-y = 1, so x and y are consecutive so x>y B is suff
Re: If x+z=y, is x>y? &nbs [#permalink] 13 Dec 2017, 05:06
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