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# x+2y+z/2

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Joined: 18 Apr 2015
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x+2y+z/2 [#permalink]  25 May 2018, 16:10
Expert's post
00:00

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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Kudos [?]: 4683 [1] , given: 70

Re: x+2y+z/2 [#permalink]  26 May 2018, 10:10
1
KUDOS
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

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