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then a – c =

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by sanju09 » Wed Sep 15, 2010 9:23 pm
If the average (arithmetic mean) of a and b is 45, and the average (arithmetic mean) of b and c is 35, then a - c =
(A) 5
(B) 10
(C) 20
(D) 30
(E) 40

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by Rahul@gurome » Wed Sep 15, 2010 10:57 pm
(a + b)/2 = 45 implies a + b = 90 -> Equation (1)
(b + c)/2 = 35 implies b + c = 70 -> Equation (2)
Subtracting equation from (2) from (1), we get,
a - c = 20

The correct answer is [spoiler](C)[/spoiler].
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