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If x − 1 = 2x/3, what is the value of x ?

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Math Expert
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Joined: 02 Sep 2009
Posts: 47918
If x − 1 = 2x/3, what is the value of x ?  [#permalink]

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New post 13 May 2018, 21:27
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

96% (00:16) correct 4% (01:20) wrong based on 45 sessions

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Joined: 05 Jan 2014
Posts: 46
GMAT 1: 610 Q47 V26
WE: Information Technology (Computer Software)
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Re: If x − 1 = 2x/3, what is the value of x ?  [#permalink]

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New post 13 May 2018, 21:32
x − 1 = 2x/3 or (x - 2*x/3) = 1 or x/3 = 1 or x = 3
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Joined: 04 Jan 2015
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If x − 1 = 2x/3, what is the value of x ?  [#permalink]

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New post 13 May 2018, 22:47

Solution



Given:
• x − 1 = \(\frac{2x}{3}\)

To find:
• The value of x that satisfies the given equation

Approach and Working:
• x − 1 = \(\frac{2x}{3}\)
    Or, x – \(\frac{2x}{3}\) = 1
    Or, \(\frac{x}{3}\) = 1
    Or, x = 1 * 3 = 3

Hence, the correct answer is option E.

Answer: E

Note: without solving one can also get the answer by checking with the options, but in some cases that approach may take longer than original
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Re: If x − 1 = 2x/3, what is the value of x ?  [#permalink]

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New post 14 Jul 2018, 19:16
Bunuel wrote:
If x − 1 = 2x/3, what is the value of x ?

A. 2/3

B. 1

C. 3/2

D. 5/2

E. 3


Multiplying both sides of the equations by 3, we have:

3x - 3 = 2x

x = 3

Answer: E
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Re: If x − 1 = 2x/3, what is the value of x ? &nbs [#permalink] 14 Jul 2018, 19:16
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