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

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Senior Manager
Joined: 30 Aug 2003
Posts: 322
Location: dallas , tx
A set contains three numbers. The average (arithmetic mean) [#permalink]

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30 Dec 2003, 10:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
_________________

shubhangi

Intern
Joined: 17 Aug 2003
Posts: 38
Location: USA

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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
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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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
10 Jan 2004, 22:08
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