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# The average (arithmetic mean) of x, y, and 15 is 9.

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The average (arithmetic mean) of x, y, and 15 is 9. [#permalink]  20 Nov 2017, 10:59
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Question Stats:

78% (00:21) correct 21% (00:50) wrong based on 33 sessions
The average (arithmetic mean) of x, y, and 15 is 9.

 Quantity A Quantity B Average of x and y 6

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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Joined: 10 Apr 2015
Posts: 3309
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Kudos [?]: 3720 [0], given: 62

Re: The average (arithmetic mean) of x, y, and 15 is 9. [#permalink]  06 Jul 2019, 06:49
Expert's post
Bunuel wrote:
The average (arithmetic mean) of x, y, and 15 is 9.

 Quantity A Quantity B Average of x and y 6

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

GIVEN: The average (arithmetic mean) of x, y, and 15 is 9

We can write: $$\frac{x+y+15}{3}=9$$

Multiply both sides by 3 to get: $$x+y+15=27$$

Subtract 15 from both sides to get: $$x+y=12$$

We get:
Quantity A: average of x and y $$= \frac{x+y}{2}= \frac{12}{2}=6$$
Quantity B: 6

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Re: The average (arithmetic mean) of x, y, and 15 is 9.   [#permalink] 06 Jul 2019, 06:49
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