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# The average (arithmetic mean) of x and y is 55. The average

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The average (arithmetic mean) of x and y is 55. The average [#permalink]  30 Aug 2018, 07:25
Expert's post
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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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Re: The average (arithmetic mean) of x and y is 55. The average [#permalink]  24 Nov 2018, 15:46
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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Re: The average (arithmetic mean) of x and y is 55. The average   [#permalink] 24 Nov 2018, 15:46
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