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

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Joined: 30 Aug 2003
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A set contains three numbers. The average (arithmetic mean) [#permalink]  30 Dec 2003, 09:02
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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shubhangi

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Joined: 17 Aug 2003
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Location: USA
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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
SVP
Joined: 30 Oct 2003
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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
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