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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Let x, y, and z be non-zero numbers such that the average (arithmetic

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Math Expert V
Joined: 02 Sep 2009
Posts: 58335
Let x, y, and z be non-zero numbers such that the average (arithmetic  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 70% (01:19) correct 30% (01:26) wrong based on 51 sessions

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Let x, y, and z be non-zero numbers such that the average (arithmetic mean) of x and twice y is equal to the average (arithmetic mean) of y and twice z. What is the average (arithmetic mean) of x and y?

A. z/2
B. z
C. 2z
D. z − x
E. z − y

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Manager  B
Joined: 23 Jun 2016
Posts: 60
Location: Pakistan
Concentration: Operations, General Management
GMAT 1: 200 Q1 V1 GPA: 3.77
WE: Operations (Energy and Utilities)
Re: Let x, y, and z be non-zero numbers such that the average (arithmetic  [#permalink]

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1
{(x + 2y) / 2} = {(y + 2z)}/2
so x + 2y = y + 2z
x + y = 2z
For Average of x & y, divide both sides by 2;
so (x+y)/2 = z
Therefore Answer = z = B Re: Let x, y, and z be non-zero numbers such that the average (arithmetic   [#permalink] 01 Nov 2018, 01:05
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Let x, y, and z be non-zero numbers such that the average (arithmetic

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