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A set contains three numbers. The average (arithmetic mean)

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A set contains three numbers. The average (arithmetic mean) [#permalink] New post 30 Dec 2003, 10:02
A set contains three numbers. The average (arithmetic mean) of the two smallest numbers in the set is 5 less than the average of all three numbers in the set. If the greatest number in the set is 5, what is the sum of the two smallest numbers in the set?


A: 5
B: 10
C: -10
D: -20
E: 20
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 [#permalink] New post 30 Dec 2003, 10:54
is it D?

might be a quicker way but this is how i did it.

#1 - a
#2 - b
#3 - 5

just solve:

(a+b+5)/3 - (a+b)/2 = 5
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 [#permalink] New post 10 Jan 2004, 22:08
got the same

(a+b)/2 = (a+b+c)/3 - 5

(a+b)( 1/2-1/3) = 5/3-5 = -10/3

a+b = -16 * 6 /2 = -20
  [#permalink] 10 Jan 2004, 22:08
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