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# The average (arithmetic mean) of a, 2a, and 9 is 7

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The average (arithmetic mean) of a, 2a, and 9 is 7 [#permalink]  10 Jun 2017, 02:06
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The average (arithmetic mean) of a, 2a, and 9 is 7

 Quantity A Quantity B 5 a

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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Kudos [?]: 369 [1] , given: 1

Re: The average (arithmetic mean) of a, 2a, and 9 is 7 [#permalink]  30 Jul 2017, 17:35
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Expert's post
Carcass wrote:

The average (arithmetic mean) of a, 2a, and 9 is 7

 Quantity A Quantity B 5 a

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 a, 2a, and 9 = 7
So, (a + 2a + 9)/3 = 7
Multiply both sides by 3 to get: a + 2a + 9 = 21
Simplify: 3a + 9 = 21
Solve: a = 4

So, we have:
Quantity A: 5
Quantity B: 4

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Re: The average (arithmetic mean) of a, 2a, and 9 is 7   [#permalink] 30 Jul 2017, 17:35
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