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If |x−y|=y, what is the value of x?

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 41871

Kudos [?]: 128512 [0], given: 12179

If |x−y|=y, what is the value of x? [#permalink]

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New post 07 Mar 2016, 09:17
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (01:00) correct 36% (01:11) wrong based on 149 sessions

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Kudos [?]: 128512 [0], given: 12179

Expert Post
Math Forum Moderator
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P
Joined: 02 Aug 2009
Posts: 4962

Kudos [?]: 5449 [0], given: 112

Re: If |x−y|=y, what is the value of x? [#permalink]

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New post 07 Mar 2016, 19:32
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Bunuel wrote:
If |x−y|=y, what is the value of x?

(1) xy>0
(2) y=6


Hi,

lets see what info can we get from Q


|x−y|=y
inference:
1)y is positive
2) x= 0 or x=2y

lets see the statement


(1) xy>0
this tells us that xis NOT equal to 0..
we already know both x and y are positive
so x=2y..
we do not know the NUMERIC value of y..
Insuff

(2) y=6
this tells us either x=2y=12 or x=0..
two values
Insuff

Combined
X is not 0, so x=12
Suff

C

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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5449 [0], given: 112

VP
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G
Joined: 26 Mar 2013
Posts: 1258

Kudos [?]: 285 [0], given: 163

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Re: If |x−y|=y, what is the value of x? [#permalink]

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New post 22 Sep 2017, 01:01
Bunuel wrote:
If |x−y|=y, what is the value of x?

(1) xy>0
(2) y=6


|x−y| means the LHS is Positive.....Thus, y is positive

1) xy>0

Let x =2, y = 1

Let x = 4, y = 2

Insufficient

2) y=6

|x−6|=6

x = 12 or x =-6

Insufficient

Combine 1 & 2

y is positive and according to Statement 1, x must be positive

We get one solution x =12

Answer: C

Kudos [?]: 285 [0], given: 163

Re: If |x−y|=y, what is the value of x?   [#permalink] 22 Sep 2017, 01:01
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