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If |x−y|=y, what is the value of x?

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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:

  45% (medium)

Question Stats:

62% (01:03) correct 38% (01:03) wrong based on 237 sessions

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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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1
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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