What is the value of \(x ?\)

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What is the value of \(x ?\)

by Vincen » Tue Apr 28, 2020 6:54 am

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What is the value of \(x ?\)

(1) \(x +1 = 2 - 3x\)
(2) \(\dfrac{1}{2x} = 2\)

[spoiler]OA=D[/spoiler]

Source: Official Guide
Source: — Data Sufficiency |

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Re: What is the value of \(x ?\)

by Brent@GMATPrepNow » Wed Apr 29, 2020 9:22 am

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Vincen wrote:
Tue Apr 28, 2020 6:54 am
What is the value of \(x ?\)

(1) \(x +1 = 2 - 3x\)
(2) \(\dfrac{1}{2x} = 2\)

[spoiler]OA=D[/spoiler]

Source: Official Guide
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

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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