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What is the value of x? (1) x + 1 = 2 - 3x (2) 1/(2x) = 2

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Bunuel
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What is the value of x ? (1) x +1 = 2 - 3x (2) 1/(2x) = 2 [#permalink] New post   31 Dec 2013, 07:23
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A
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What is the value of x ?

(1) x +1 = 2 - 3x
(2) 1/(2x) = 2
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D
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Bunuel
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Re: What is the value of x ? (1) x +1 = 2 - 3x (2) 1/(2x) = 2 [#permalink] New post   31 Dec 2013, 07:23
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SOLUTION

What is the value of x ?

(1) x +1 = 2 - 3x --> 4x = 1 --> x = 1/4. Sufficient.

(2) 1/(2x) = 2 --> 4x = 1 --> x = 1/4. Sufficient.

Answer: D.
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Re: What is the value of x ? [#permalink] New post   07 Oct 2016, 11:54
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Bunuel wrote:
What is the value of x ?

(1) x + 1 = 2 − 3x
(2) 1/(2x) = 2


Statement One Alone:

x + 1 = 2 − 3x

Using the equation in statement one, we can determine a value for x.

x + 1 = 2 - 3x

4x = 1

x = ¼

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

1/(2x) = 2

Using the equation in statement two, we can determine a value for x.

1/(2x) = 2

1 = 4x

x = ¼

Answer: D
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BrentGMATPrepNow
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Re: What is the value of x ? (1) x +1 = 2 - 3x (2) 1/(2x) = 2 [#permalink] New post   29 Apr 2020, 10:22
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of x ?

(1) x +1 = 2 - 3x
(2) 1/(2x) = 2


Target question: What is the value of x ?

Statement 1: x + 1 = 2 - 3x
At 3x to both sides of the equation to get: 4x + 1 = 2
Subtract 1 from both sides: 4x = 1
Solve: x = 0.25
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 1/(2x) = 2
Multiply both sides of the equation by 2x to get: 1 = 4x
Solve: x = 0.25
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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Re: What is the value of x ? (1) x +1 = 2 - 3x (2) 1/(2x) = 2 [#permalink] New post   19 Jun 2021, 05:08
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From statement I alone, x + 1 = 2 – 3x.
This is a simple linear equation in x and hence can be solved for a unique value of x.

Statement I alone is sufficient. Answer options B, C and E can be eliminated.


From statement II alone, 1 / (2x) = 2.
Again, a simple equation in x and can be solved for a definite value of x.

Statement II alone is sufficient. Answer option A can be eliminated.

The correct answer option is D.

Hope that helps!
Aravind B T
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Re: What is the value of x? (1) x + 1 = 2 - 3x (2) 1/(2x) = 2 [#permalink] New post   11 Oct 2022, 20:26
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Re: What is the value of x? (1) x + 1 = 2 - 3x (2) 1/(2x) = 2 [#permalink]
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