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# What is the average (arithmetic mean) of k and m ?

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
What is the average (arithmetic mean) of k and m ?  [#permalink]

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31 Dec 2017, 11:06
00:00

Difficulty:

25% (medium)

Question Stats:

94% (01:38) correct 6% (00:56) wrong based on 26 sessions

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What is the average (arithmetic mean) of k and m ?

(1) The average (arithmetic mean) of k + n and m + n is 15.
(2) The average (arithmetic mean) of k, m, and n is 8.

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examPAL Representative
Joined: 07 Dec 2017
Posts: 889
Re: What is the average (arithmetic mean) of k and m ?  [#permalink]

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31 Dec 2017, 13:10
Bunuel wrote:
What is the average (arithmetic mean) of k and m ?

(1) The average (arithmetic mean) of k + n and m + n is 15.
(2) The average (arithmetic mean) of k, m, and n is 8.

To find the average of k and m we need to know their sum.
We'll see if any answers give us this information, a Logical approach.

(1) This tells us the sum of k + m + 2n.
Insufficient!

(2) This tells us the sum of k + m + n.
Insufficient!

Combined - Subtracting the 2 equations, we can solve for n and then substitute back into one of the equations to find the sum of k + m.
Sufficient!
Note that there is no point in actually doing this calculation.

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Re: What is the average (arithmetic mean) of k and m ?   [#permalink] 31 Dec 2017, 13:10
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