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If x/y = 2/3, then (x + y)/(x - y) = ?

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If x/y = 2/3, then (x + y)/(x - y) = ? [#permalink]

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New post 12 May 2014, 06:28
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A
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C
D
E

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Question Stats:

87% (00:36) correct 13% (01:37) wrong based on 146 sessions

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If x/y = 2/3, then (x + y)/(x - y) = ?

A. 5
B. 1/5
C. -1/6
D. -1/5
E. -5
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 May 2014, 06:39, edited 1 time in total.
Renamed the topic and edited the question.

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Re: Algebra PS Question - please help! [#permalink]

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New post 12 May 2014, 06:43
brobeedle wrote:
if x/y = 2/3; then x+y/x-y = ?

a. 5
b. 1/5
c. -1/6
d. -1/5
e. -5


If x/y = 2/3, then (x + y)/(x - y) = ?

A. 5
B. 1/5
C. -1/6
D. -1/5
E. -5

Any x and y satisfying x/y = 2/3 should give the same value for (x + y)/(x - y).

Say x=2 and y=3, then (x + y)/(x - y) = (2 + 3)/(2-3) = -5.

Answer: E.

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Re: If x/y = 2/3, then (x + y)/(x - y) = ? [#permalink]

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New post 13 May 2014, 01:21
brobeedle wrote:
If x/y = 2/3, then (x + y)/(x - y) = ?

A. 5
B. 1/5
C. -1/6
D. -1/5
E. -5


Another way:

Given x/y = 2/3

Add 1 to both sides and we get \((x+y)/y= 5/3 or (x+y)= 5y/3\)
Subract 1 from both sides and we get
(x-y)/y= -1/3 or (x-y) =-y./3

So we have \((x+y)/(x-y)= (5y/3)/(-y/3) or -5\)
Ans is E
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If x/y = 2/3, then (x + y)/(x - y) = ? [#permalink]

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New post 01 Aug 2014, 01:12
\(\frac{x}{y} = \frac{2}{3}\)

Using componendo / dividendo

\(\frac{x+y}{y} = \frac{2+3}{3} = \frac{5}{3}\) ................. (1)

\(\frac{x-y}{y} = \frac{2-3}{3} =\frac{-1}{3}\) ................... (2)

Divide (1) by (2)

\(\frac{x+y}{x-y} = -5\)

Answer = E
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Re: If x/y = 2/3, then (x + y)/(x - y) = ? [#permalink]

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New post 03 Aug 2014, 16:54
x/y=2/3, so x = (2/3)y
(x+y)/(x-y) = [ (2/3)y +y] / [(2/3)y -y] = [(5/3)y] / [(-1/3)y] = (5/3) * (-3) = -5

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Re: If x/y = 2/3, then (x + y)/(x - y) = ?   [#permalink] 03 Aug 2014, 16:54
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