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# The average (arithmetic mean) of 67, 78, x, and 101

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The average (arithmetic mean) of 67, 78, x, and 101 [#permalink]  03 Jun 2017, 02:09
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Question Stats:

61% (00:58) correct 38% (00:30) wrong based on 31 sessions

 Quantity A Quantity B The average (arithmetic mean) of 67, 78, x, and 101 The average (arithmetic mean) of 66, 79, x, and 102

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 67, 78, x, and 101 [#permalink]  27 Sep 2017, 04:41
The two columns can be written as $$\frac{67+78+x+101}{4}$$ and $$\frac{66+79+x+102}{4}$$. Using matching operations method, and after rearranging, we get column A equal to $$1+x$$ and column B equal to $$2+x$$, thus whatever value of X, column B is greater!
Re: The average (arithmetic mean) of 67, 78, x, and 101   [#permalink] 27 Sep 2017, 04:41
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