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ketkoag: Legendary Member; Posts: 876; Joined: Thu Apr 10, 2008 8:14 am; Thanked: 13 times

by ketkoag » Sat May 16, 2009 1:19 am

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 19 inches less that 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

please lemme know if the answer to this question is 25 as when i solved it, i got 25 but ther is no option here..

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Source: Beat The GMAT — Problem Solving | Sat May 16, 2009 1:19 am

DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Sat May 16, 2009 2:22 am

Start off by making some convenient notations. This is important in the real test as well, since it saves time and space on that annoying erasable pad...
r = length of red sticks
w = average length for sticks in box W
v = average length for sticks in box V

You are looking for w - v.

Now, the problem tells you that:

r + 19 = w --- length of each red stick is 19 inches less that the average length of the sticks in Box W

r - 6 = v --- 6 inches greater than the average length of the sticks in Box V

Now, replace those in w - v to get:

r + 19 - r + 6 = 25.

I'm getting 25 too... What's the source of this problem?

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dadagreat: Junior | Next Rank: 30 Posts; Posts: 17; Joined: Thu Oct 09, 2008 2:37 pm; GMAT Score:720

by dadagreat » Sat May 16, 2009 3:14 am

I also got 25 and it was pretty much the same method which DanaJ has posted. Cant think of any other method!!

is the source credible?

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dumb.doofus: Master | Next Rank: 500 Posts; Posts: 435; Joined: Sat Sep 27, 2008 2:02 pmFollowed by: 1 member; Location: San Jose, CA; Thanked: 43 times; GMAT Score:720

by dumb.doofus » Sat May 16, 2009 7:57 am

I searched a bit on the net.. the correct question is where the number given is 18 and not 19..

with that the answer is 24.

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ketkoag: Legendary Member; Posts: 876; Joined: Thu Apr 10, 2008 8:14 am; Thanked: 13 times

by ketkoag » Sat May 16, 2009 10:24 am

thanks for ur reply guys.....

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