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# Is the average (arithmetic mean) of positive integers n and p greater

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Math Expert
Joined: 02 Sep 2009
Posts: 52152
Is the average (arithmetic mean) of positive integers n and p greater  [#permalink]

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25 Dec 2017, 00:22
00:00

Difficulty:

25% (medium)

Question Stats:

80% (00:43) correct 20% (00:53) wrong based on 21 sessions

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Is the average (arithmetic mean) of positive integers n and p greater than z?

(1) z > 0
(2) The sum of n and p is 14.

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Joined: 24 Nov 2016
Posts: 152
Re: Is the average (arithmetic mean) of positive integers n and p greater  [#permalink]

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25 Dec 2017, 16:45
Bunuel wrote:
Is the average (arithmetic mean) of positive integers n and p greater than z?

(1) z > 0
(2) The sum of n and p is 14.

Question: is $$\frac{n+p}{2}>z$$?

(1) z > 0. So z can be any positive integer, but there is no info on n or p; insufficient.

(2) The sum of n and p is 14. So $$\frac{n+p}{2}=14/2=7$$, but z could be greater than 7 or less than 7; insufficient.

(1)+(2). We know that z is a positive integers and that the average of n and p is 7, but we cannot determine if the average is greater/less than z; insufficient.

Re: Is the average (arithmetic mean) of positive integers n and p greater &nbs [#permalink] 25 Dec 2017, 16:45
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