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# If the average (arithmetic mean) of p and r is n and the average

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
If the average (arithmetic mean) of p and r is n and the average  [#permalink]

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27 Dec 2017, 23:21
00:00

Difficulty:

15% (low)

Question Stats:

81% (00:58) correct 19% (01:37) wrong based on 37 sessions

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If the average (arithmetic mean) of p and r is n and the average (arithmetic mean) of r and s is 3n, what is the value of s – p?

A. 4n
B. 2n
C. n
D. n + r
E. n + 2r

_________________
Senior Manager
Joined: 08 Aug 2017
Posts: 291
Re: If the average (arithmetic mean) of p and r is n and the average  [#permalink]

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27 Dec 2017, 23:50
p+r = 2n
s+r = 6n
So, s-p=4n
Intern
Joined: 28 Dec 2017
Posts: 31
Re: If the average (arithmetic mean) of p and r is n and the average  [#permalink]

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29 Dec 2017, 09:48
(p + r)/2 = n, hence p + r = 2n (equation 1)
(r + s)/2 = 3n, hence r + s = 6n (equation 2)

Subtract equation 2 from equation 1, and s - p = 4n (answer A)
Re: If the average (arithmetic mean) of p and r is n and the average &nbs [#permalink] 29 Dec 2017, 09:48
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