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# If y is positive, what is the value of x ?

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Math Expert
Joined: 02 Sep 2009
Posts: 46167
If y is positive, what is the value of x ? [#permalink]

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17 Sep 2017, 05:24
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Difficulty:

45% (medium)

Question Stats:

67% (00:55) correct 33% (01:47) wrong based on 72 sessions

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If y is positive, what is the value of x ?

(1) x - y = -(x + |y|)
(2) x - y = -3

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Manager
Joined: 02 Nov 2015
Posts: 171
GMAT 1: 640 Q49 V29
Re: If y is positive, what is the value of x ? [#permalink]

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17 Sep 2017, 05:51
Statement 1:
Since Y is positive , so x-y= -x-y
This solves to 2x=0.
So sufficient.

Statement 2: tells nothing about x or Y..

Note:. Kindly point out if any fault is here in my understanding.
Thank you.

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Manager
Status: MBA Candidate Class of 2020
Joined: 10 Jan 2016
Posts: 113
Location: India
Concentration: Operations, Strategy
GMAT 1: 620 Q47 V29
GMAT 2: 670 Q50 V31
GPA: 4
Re: If y is positive, what is the value of x ? [#permalink]

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17 Sep 2017, 06:15
I think option A is sufficient. By looking at the question, we can say that mod y is equal to y as y is +ve.
Thus we get A as sufficient

Kudos if you like my answer
Manager
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If y is positive, what is the value of x ? [#permalink]

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17 Sep 2017, 07:10
Bunuel wrote:
If y is positive, what is the value of x ?

(1) x - y = -(x + |y|)
(2) x - y = -3

Stmt 1 x-y=-(x+|y|)
Given y is positive , so x-y= -(x+y)
so x-y= -x-y
which implies x=0; Definite Answer so Sufficient.

Stmnt gives x=y-3. Since we only know y is +ve and no definite value of y, Insufficient.

Hence Ans:A
Intern
Joined: 25 Mar 2016
Posts: 43
Location: India
Concentration: Finance, General Management
WE: Other (Other)
Re: If y is positive, what is the value of x ? [#permalink]

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18 Sep 2017, 10:50
From statement 1

x-y= -x -y (As y is positive so |y|=y)

therefore x=0;

In statement 2 we have 2 unknown variable and only on equation so it in sufficient

Re: If y is positive, what is the value of x ?   [#permalink] 18 Sep 2017, 10:50
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