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# Three pieces of wire have an average (arithmetic mean)

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Intern
Joined: 10 Oct 2008
Posts: 14
Three pieces of wire have an average (arithmetic mean) [#permalink]

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10 Oct 2008, 11:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Three pieces of wire have an average (arithmetic mean) length of 39 inches and a median length of 48 inches. What is the maximum possible length, in inches, of the shortest piece of wire?

A. 21
B. 24
C. 27
D. 30
E. 33
Manager
Joined: 27 Sep 2008
Posts: 76

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10 Oct 2008, 11:27
39*3 = 117

117-48-48 = 21

20,48,48

SVP
Joined: 05 Jul 2006
Posts: 1747

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10 Oct 2008, 11:39
chenhong1224 wrote:
Three pieces of wire have an average (arithmetic mean) length of 39 inches and a median length of 48 inches. What is the maximum possible length, in inches, of the shortest piece of wire?

A. 21
B. 24
C. 27
D. 30
E. 33

TOTAL LENGHT = 117

LENGHT OF THE UNKNOWN 2 PIECES = 117- 48 = 69

X,MEDIAN,Y

Y CAN BE MAX WHEN X IS MIN , MIN VALIUE X CAN BE IS = ,MEDIAN = 48

69 - 48 = 21...A
Re: wire   [#permalink] 10 Oct 2008, 11:39
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