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x+2y+z/2

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Founder
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Joined: 18 Apr 2015
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GRE 1: Q160 V160
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x+2y+z/2 [#permalink] New post 25 May 2018, 16:10
Expert's post
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Question Stats:

84% (00:14) correct 15% (00:24) wrong based on 46 sessions
\(\frac{x+2y+z}{2} = y\)

Quantity A
Quantity B
x
-z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: x+2y+z/2 [#permalink] New post 26 May 2018, 10:10
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Expert's post
Carcass wrote:
\(\frac{x+2y+z}{2} = y\)

Quantity A
Quantity B
x
-z


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Given: (x + 2y + z)/2 = y
Multiply both sides by 2 to get: x + 2y + z = 2y
Subtract 2y from both sides to get: x + z = 0
Subtract z from both sides to get: x = -z

Answer: C

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Re: x+2y+z/2   [#permalink] 26 May 2018, 10:10
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