Last visit was: 20 Sep 2024, 02:54 It is currently 20 Sep 2024, 02:54
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Joined: 02 Dec 2012
Posts: 172
Own Kudos [?]: 24990 [16]
Given Kudos: 29
Math Expert
Joined: 02 Sep 2009
Posts: 95689
Own Kudos [?]: 660433 [5]
Given Kudos: 87330
General Discussion
Joined: 24 Apr 2012
Posts: 36
Own Kudos [?]: 50 [2]
Given Kudos: 1
Joined: 03 Aug 2011
Posts: 267
Own Kudos [?]: 109 [1]
Given Kudos: 916
Concentration: Strategy, Finance
GMAT 1: 640 Q44 V34
GMAT 2: 700 Q42 V44
GMAT 3: 680 Q44 V39
GMAT 4: 740 Q49 V41
GPA: 3.7
WE:Project Management (Energy and Utilities)
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
1
Kudos
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!
Math Expert
Joined: 02 Sep 2009
Posts: 95689
Own Kudos [?]: 660433 [1]
Given Kudos: 87330
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
1
Kudos
bgpower
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.
Joined: 19 Jan 2013
Posts: 28
Own Kudos [?]: 14 [1]
Given Kudos: 1
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
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.
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19488
Own Kudos [?]: 23300 [1]
Given Kudos: 287
Location: United States (CA)
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
1
Bookmarks
If 1 + 1/x = 2 - 2/x, then x =

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

We need to simplify the equation 1 + 1/x = 2 – 2/x.

We start by adding 2/x to both sides of the equation. Then we can easily solve for x. We obtain:

1 + 3/x = 2

3/x = 1

x = 3

The answer is E.
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6799
Own Kudos [?]: 31368 [1]
Given Kudos: 799
If 1 + 1/x = 2 - 2/x, then x = [#permalink]
1
Kudos
Top Contributor
If 1 + 1/x = 2 - 2/x, then x =

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

Another approach is to eliminate the fractions at step 1.
Given: 1 + 1/x = 2 - 2/x
Multiply both sides by x to get: x + 1 = 2x - 2
Add 2 to both sides: x + 3 = 2x
Subtract x from both sides: 3 = x

Originally posted by BrentGMATPrepNow on 14 Sep 2017, 07:29.
Last edited by BrentGMATPrepNow on 28 Dec 2019, 07:34, edited 1 time in total.
Joined: 25 Oct 2013
Posts: 2
Own Kudos [?]: 1 [0]
Given Kudos: 2
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
Bunuel
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: 95689
Own Kudos [?]: 660433 [1]
Given Kudos: 87330
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
Markster
Bunuel
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.
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5368
Own Kudos [?]: 4383 [0]
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
If 1 + 1/x = 2 - 2/x, then x =

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

3/x = 1
x=3

IMO E

Posted from my mobile device
Non-Human User
Joined: 09 Sep 2013
Posts: 34914
Own Kudos [?]: 882 [0]
Given Kudos: 0
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If 1 + 1/x = 2 - 2/x, then x = [#permalink]
Moderator:
Math Expert
95687 posts