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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The average (arithmetic mean) of x and y is 55. The average  Question banks Downloads My Bookmarks Reviews Important topics
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Retired Moderator Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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The average (arithmetic mean) of x and y is 55. The average [#permalink]
Expert's post 00:00

Question Stats: 76% (00:36) correct 23% (00:24) wrong based on 42 sessions
The average (arithmetic mean) of x and y is 55. The average of y and z is 75.

 Quantity A Quantity B $$z - x$$ $$40$$

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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Sandy
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Re: The average (arithmetic mean) of x and y is 55. The average [#permalink]
Expert's post
sandy wrote:
The average (arithmetic mean) of x and y is 55. The average of y and z is 75.

 Quantity A Quantity B $$z - x$$ $$40$$

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.

The average (arithmetic mean) of x and y is 55
So, (x + y)/2 = 55
Multiply both sides by 2 to get: x + y = 110

The average of y and z is 75.
So, (z + y)/2 = 75
Multiply both sides by 2 to get: z + y = 150

We have:
z + y = 150
x + y = 110
Subtract the bottom equation from the top equation to get: z - x = 40

So, we have:
QUANTITY A: 40
QUANTITY B: 40

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Brent Hanneson – Creator of greenlighttestprep.com  Re: The average (arithmetic mean) of x and y is 55. The average   [#permalink] 24 Nov 2018, 15:46
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