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# PS-algebra

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Senior Manager
Joined: 19 Nov 2007
Posts: 459

Kudos [?]: 218 [0], given: 4

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03 Jan 2009, 18:25
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If w>y, the average of x and y is z, and the average of z and x is w, what is the value of x-w / w-y?

A] 1/4
B] 1/3
C] 1/2
D] 3
E] 4
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Kudos [?]: 218 [0], given: 4

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 843 [0], given: 19

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03 Jan 2009, 22:05
vscid wrote:
If w>y, the average of x and y is z, and the average of z and x is w, what is the value of x-w / w-y?

A] 1/4
B] 1/3
C] 1/2
D] 3
E] 4

x+y = 2z -------------1
z+x = 2w
z = 2w - x -----------2
put z's value on 1.
x+y = 2 (2w - x)
y = 4w - 2x - x
y = 4w - 3x

= (x-w)/(w-y)
= (x-w)/(w-4w + 3x)
= (x-w)/(3x - 3w)
= (x-w)/{3(x-w)}
= 1/3
B.
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Kudos [?]: 843 [0], given: 19

Re: PS-algebra   [#permalink] 03 Jan 2009, 22:05
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