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Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0

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Senior DS Moderator
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Joined: 27 Oct 2017
Posts: 1035
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Concentration: International Business, General Management
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WE: Business Development (Energy and Utilities)
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Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0  [#permalink]

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New post 15 Jun 2018, 09:21
1
4
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (00:47) correct 50% (00:38) wrong based on 90 sessions

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CEO
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Re: Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0  [#permalink]

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New post 15 Jun 2018, 09:43
1
Top Contributor
gmatbusters wrote:
Given x = y + z. Is x > y ?

1) y > 0
2) z > 0


Great question!

Given: Given x = y + z

Target question: Is x > y ?
This is a good candidate for rephrasing the target question.

Aside: the video below has tips on rephrasing the target question

Take x > y, and subtract y from both sides to get: x - y > 0
So, asking Is x > y? is the SAME AS asking Is x - y > 0?

REPHRASED target question: Is x - y >?

Statement 1: y > 0
There are several values of x, y and z that satisfy statement 1. Here are two:
Case a: x = 3, y = 2 and z = 1 (this satisfies the given condition that x = y + z. In this case, x - y = 3 - 2 = 1. So, the answer to the REPHRASED target question is YES, x - y IS greater than 0
Case b: x = 2, y = 3 and z = -1 (this satisfies the given condition that x = y + z. In this case, x - y = 2 - 3 = -1. So, the answer to the REPHRASED target question is NO, x - y is NOT greater than 0
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: z > 0
It's given that x = y + z
This means that x - y = z
Since statement 1 tells us that z > 0, then it is the case that x - y > 0
PERFECT!!
The answer to the REPHRASED target question is YES, x - y IS greater than 0
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent

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Re: Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0  [#permalink]

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New post 15 Jun 2018, 11:31
Is y + z > y ?
Is z > 0 ?
Statement 2 is Sufficient
Answer B
Senior DS Moderator
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Re: Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0  [#permalink]

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New post 24 Jul 2018, 01:28
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Re: Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0  [#permalink]

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New post 11 Sep 2018, 18:20
We have to prove X>Y or X-Y>0;
Given X=Y+Z or X-Y=Z
1)Y>0 insufficient
2)Z>0 or X-Y=Z>0 Sufficient.
GMAT Club Bot
Re: Given x = y + z. Is x > y ? (1) y > 0 (2) z > 0 &nbs [#permalink] 11 Sep 2018, 18:20
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