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PS-arithmetic mean

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Senior Manager
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PS-arithmetic mean [#permalink]

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New post 01 Dec 2008, 07:48
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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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Re: PS-arithmetic mean [#permalink]

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New post 01 Dec 2008, 09:58
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
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Re: PS-arithmetic mean [#permalink]

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New post 01 Dec 2008, 21:28
I am bit confused in the answer ,is it 24 or 12
can some one please explain in detail..............
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Re: PS-arithmetic mean [#permalink]

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New post 01 Dec 2008, 21:49
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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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Re: PS-arithmetic mean [#permalink]

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New post 02 Dec 2008, 04:11
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
Re: PS-arithmetic mean   [#permalink] 02 Dec 2008, 04:11
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