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# If ab ≠ 0, what is the value of (a+b)/(a-b)?

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Manager
Joined: 14 Mar 2011
Posts: 147
GMAT 1: 760 Q50 V42
If ab ≠ 0, what is the value of (a+b)/(a-b)? [#permalink]

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16 Mar 2017, 01:15
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55% (hard)

Question Stats:

37% (00:58) correct 63% (00:51) wrong based on 46 sessions

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If ab ≠ 0, what is the value of $$\frac{a+b}{a-b}$$ ?

(1) $$3a^2 = 2b^2$$
(2) b = 10
[Reveal] Spoiler: OA

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Last edited by Bunuel on 16 Mar 2017, 05:48, edited 1 time in total.
Renamed the topic and edited the question.
Director
Joined: 05 Mar 2015
Posts: 962
If ab ≠ 0, what is the value of (a+b)/(a-b)? [#permalink]

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16 Mar 2017, 06:51
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avik5503 wrote:
If ab ≠ 0, what is the value of $$\frac{a+b}{a-b}$$ ?

(1) $$3a^2 = 2b^2$$
(2) b = 10

(1) multiply &divide by (a-b) to get
a^2-b^2/(a-b)^2

substitute a^2= 2b^2/3

2b^2/3-b^2 / (2b^2/3 +b^2 -2ab)

here we dont know whether b is >0 or <0
hence insuff

(2) clearly insuff

Combining we know b=10 (>0)

thus a = sqrt2/3 * b*b
thus a can be >0 or <0
insuff

Ans E

Last edited by rohit8865 on 16 Mar 2017, 10:43, edited 2 times in total.
Senior Manager
Joined: 06 Dec 2016
Posts: 253
Re: If ab ≠ 0, what is the value of (a+b)/(a-b)? [#permalink]

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16 Mar 2017, 10:14
rohit8865 It can not be A.

The reason is that you will get a negative and positive number for statement 1

The answer is E
Director
Joined: 05 Mar 2015
Posts: 962
Re: If ab ≠ 0, what is the value of (a+b)/(a-b)? [#permalink]

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16 Mar 2017, 10:43
matthewsmith_89 wrote:
rohit8865 It can not be A.

The reason is that you will get a negative and positive number for statement 1

The answer is E

Good catch
edited!!!

thanks
Re: If ab ≠ 0, what is the value of (a+b)/(a-b)?   [#permalink] 16 Mar 2017, 10:43
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# If ab ≠ 0, what is the value of (a+b)/(a-b)?

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