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# If 1 + 1/x = 2 - 2/x, then x =

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If 1 + 1/x = 2 - 2/x, then x = [#permalink]  20 Dec 2012, 08:34
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Difficulty:

5% (low)

Question Stats:

88% (01:33) correct 12% (00:55) wrong based on 477 sessions
If 1 + 1/x = 2 - 2/x, then x =

(A) -1
(B) 1/3
(C) 2/3
(D) 2
(E) 3
[Reveal] Spoiler: OA
Math Expert
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Kudos [?]: 62190 [2] , given: 9444

Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  20 Dec 2012, 08:36
2
KUDOS
Expert's post
If 1 + 1/x = 2 - 2/x, then x =

(A) -1
(B) 1/3
(C) 2/3
(D) 2
(E) 3

$$1 + \frac{1}{x} = 2 - \frac{2}{x}$$ --> $$\frac{1}{x}+\frac{2}{x}=1$$ --> $$\frac{3}{x} = 1$$ --> $$x = 3$$.

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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  21 Dec 2012, 03:14
1
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Ans:

1+1/x=2-2/x, getting x on one side, 1/x+2/x=2-1, 3/x=1, x=3

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Senior Manager
Joined: 03 Aug 2011
Posts: 279
GMAT 1: 640 Q44 V34
GMAT 2: 700 Q42 V44
GMAT 3: 680 Q44 V39
GMAT 4: 740 Q49 V41
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WE: Project Management (Energy and Utilities)
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  11 Feb 2013, 08:57
Am I the only one, who does not understand why this questions is rated in OG12 as Hard? I guess I still am not a Quant-Killer, but this question seems to be quite simple and straightforward.

Thanks!
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Thank you very much for reading this post till the end! Kudos?

Math Expert
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  11 Feb 2013, 09:00
1
KUDOS
Expert's post
bgpower wrote:
Am I the only one, who does not understand why this questions is rated in OG12 as Hard? I guess I still am not a Quant-Killer, but this question seems to be quite simple and straightforward.

Thanks!

I agree with you. From my point of view this questions is sub-600 level.
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  24 Jul 2013, 14:32
1
KUDOS
To add to your point, I've noticed that in the last pages of the OG hidden among the 700+ level questions are some really easy 600 or less level questions. Anyone know why that is the case? The guide states that the questions are organized by difficulty yet in the last 40 questions, the guide has some very very easy questions.
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  12 Nov 2013, 05:55
Bunuel wrote:
If 1 + 1/x = 2 - 2/x, then x =

(A) -1
(B) 1/3
(C) 2/3
(D) 2
(E) 3

$$1 + \frac{1}{x} = 2 - \frac{2}{x}$$ --> $$\frac{1}{x}+\frac{2}{x}=1$$ --> $$\frac{3}{x} = 1$$ --> $$x = 3$$.

What did you do at the last step when you had $$\frac{3}{x} = 1$$ --> $$x = 3$$?
How did you get rid of the 1 and the fraction?
Math Expert
Joined: 02 Sep 2009
Posts: 31286
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  12 Nov 2013, 06:14
Expert's post
Markster wrote:
Bunuel wrote:
If 1 + 1/x = 2 - 2/x, then x =

(A) -1
(B) 1/3
(C) 2/3
(D) 2
(E) 3

$$1 + \frac{1}{x} = 2 - \frac{2}{x}$$ --> $$\frac{1}{x}+\frac{2}{x}=1$$ --> $$\frac{3}{x} = 1$$ --> $$x = 3$$.

What did you do at the last step when you had $$\frac{3}{x} = 1$$ --> $$x = 3$$?
How did you get rid of the 1 and the fraction?

Multiply both sides by x: $$\frac{3}{x}*x = 1*x$$ --> $$3= x$$.

Hope it's clear.
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Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]  16 Dec 2014, 07:25
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Re: If 1 + 1/x = 2 - 2/x, then x =   [#permalink] 16 Dec 2014, 07:25
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