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PostPosted: Sun Sep 30, 2007 1:17 pm    Post subject: algebra DS Reply with quote

Not sure what to do with following

if 0<x<y what is the value of (x+y)^2/(x-y)^2

(1) x^2+y^2=3xy
(2) xy=3
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PostPosted: Sun Sep 30, 2007 1:20 pm    Post subject: Reply with quote

By the way, that question was from gmat prep. and answer was A.
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kajcha
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PostPosted: Sun Sep 30, 2007 2:04 pm    Post subject: Reply with quote

Ans would be A

(x+y)^2 = x^2+y^2+2xy ----------(1)

(x-y)^2 = x^2+y^2-2xy ------------(2)

you need to find (1)/(2)

stmt 1 - x^2+y^2 = 3xy

(1) will be 3xy+2xy = 5xy
(2) will be 3xy-2xy = xy

(1)/(2) = 5 SUFF

Stmt 2 - xy= 3. No info to calculate x^2+y^2 so NOT SUFF

Ans A
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PostPosted: Mon Oct 01, 2007 7:07 pm    Post subject: Reply with quote

kajcha wrote:
Ans would be A

(x+y)^2 = x^2+y^2+2xy ----------(1)

(x-y)^2 = x^2+y^2-2xy ------------(2)

you need to find (1)/(2)

stmt 1 - x^2+y^2 = 3xy

(1) will be 3xy+2xy = 5xy
(2) will be 3xy-2xy = xy

(1)/(2) = 5 SUFF

Stmt 2 - xy= 3. No info to calculate x^2+y^2 so NOT SUFF

Ans A


wow..so simple!!! and I was trying all kinds of manupilations...such as expanding denominator as product of difference of squares and canceling (x+y) in both numerator and denominator leaving x+y/x-y in denominator and was stuck...
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