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

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Re: If the average (arithmetic mean) of p and r is n and the average (arit [#permalink]
Bunuel
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

We can create the equations:

(p + r)/2 = n

p + r = 2n

p = 2n - r

and

(r + s)/2 = 3n

r + s = 6n

s = 6n - r

Thus, s - p = (6n - r) - (2n - r) = 4n.