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# PS-arithmetic mean

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Senior Manager
Joined: 05 Jun 2008
Posts: 289

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01 Dec 2008, 08:48
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Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
A. 3
B. 6
C. 12
D. 18
E. 24

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VP
Joined: 17 Jun 2008
Posts: 1474

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01 Dec 2008, 10:58
If, W is the average length of sticks in box W and V of sticks in box V then
W - 18 = V + 6
or, W-V = 24
Senior Manager
Joined: 23 May 2008
Posts: 383

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01 Dec 2008, 22:28
I am bit confused in the answer ,is it 24 or 12
can some one please explain in detail..............
SVP
Joined: 29 Aug 2007
Posts: 2420

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01 Dec 2008, 22:49
1
vivektripathi wrote:
Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
A. 3
B. 6
C. 12
D. 18
E. 24

Average (arithmetic mean) length, in inches, of the sticks in Box W = w
Average (arithmetic mean) length, in inches, of the sticks in Box V = v
length, in inches, of the red sticks = r

Question: Average (arithmetic mean) length, in inches, of the sticks in Box W - Average (arithmetic mean) length, in inches, of the sticks in Box V? or w - v?

r = w - 18
r = v + 6
w - 18 = v + 6
w - v = 18 + 6 = 24

Do not need to divide by 2 cuz w and v are already average (arithemetic mean).
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Senior Manager
Joined: 05 Jun 2008
Posts: 289

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02 Dec 2008, 05:11
GMAT TIGER wrote:
vivektripathi wrote:
Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V?
A. 3
B. 6
C. 12
D. 18
E. 24

Average (arithmetic mean) length, in inches, of the sticks in Box W = w
Average (arithmetic mean) length, in inches, of the sticks in Box V = v
length, in inches, of the red sticks = r

Question: Average (arithmetic mean) length, in inches, of the sticks in Box W - Average (arithmetic mean) length, in inches, of the sticks in Box V? or w - v?

r = w - 18
r = v + 6
w - 18 = v + 6
w - v = 18 + 6 = 24

Do not need to divide by 2 cuz w and v are already average (arithemetic mean).

+1 for this, OA is 24

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS-arithmetic mean &nbs [#permalink] 02 Dec 2008, 05:11
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