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# If 3/(1 + 3/x) = 2, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
If 3/(1 + 3/x) = 2, then x =  [#permalink]

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12 Nov 2018, 00:47
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:40) correct 3% (00:14) wrong based on 53 sessions

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If $$\frac{3}{1 + \frac{3}{x}} = 2$$, then x =

A. −6
B. −3/2
C. 1/2
D. 3/2
E. 6

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SVP
Joined: 18 Aug 2017
Posts: 1887
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If 3/(1 + 3/x) = 2, then x =  [#permalink]

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12 Nov 2018, 01:32
Bunuel wrote:
If $$\frac{3}{1 + \frac{3}{x}} = 2$$, then x =

A. −6
B. −3/2
C. 1/2
D. 3/2
E. 6

3x/3+x=2
x= 6 option E
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Manager
Joined: 10 Jan 2013
Posts: 171
Location: India
Concentration: General Management, Strategy
GMAT 1: 600 Q43 V30
GPA: 3.95
Re: If 3/(1 + 3/x) = 2, then x =  [#permalink]

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12 Nov 2018, 10:15
Bunuel wrote:
If $$\frac{3}{1 + \frac{3}{x}} = 2$$, then x =

A. −6
B. −3/2
C. 1/2
D. 3/2
E. 6

3x/ (x+3) = 2

3x= 2x +6
x=6
Target Test Prep Representative
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Re: If 3/(1 + 3/x) = 2, then x =  [#permalink]

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21 Jan 2019, 18:20
Bunuel wrote:
If $$\frac{3}{1 + \frac{3}{x}} = 2$$, then x =

A. −6
B. −3/2
C. 1/2
D. 3/2
E. 6

First, let’s multiply both sides of the equation by (1 + 3/x), and then we can easily solve for x:

3 = 2 + 6/x

1 = 6/x

x = 6

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Re: If 3/(1 + 3/x) = 2, then x =   [#permalink] 21 Jan 2019, 18:20
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