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Average problem

by phoenix9801 » Thu May 31, 2012 9:37 am
2-
The average (arithmetic mean) of p and q is 120. The average (arithmetic mean) of q and r is 160. How much more is r than p ?

A) 140
B) 80
C) 40
D) 20
E) It cannot be determined from the information given
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by aneesh.kg » Thu May 31, 2012 11:55 am
phoenix9801 wrote:2-
The average (arithmetic mean) of p and q is 120. The average (arithmetic mean) of q and r is 160. How much more is r than p ?

A) 140
B) 80
C) 40
D) 20
E) It cannot be determined from the information given
(p + q)/2 = 120
p + q = 240 -- (1)

(q + r)/2 = 160
q + r = 320 -- (2)

Subtracting (1) from (2),
(q + r) - (p + q) = 320 - 240
r - q = 80
r is 80 more than q.

[spoiler](B)[/spoiler] is correct.
Aneesh Bangia
GMAT Math Coach
[email protected]

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