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What is the value of x ?

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Source: — Data Sufficiency |

Re: What is the value of x ?

by Brent@GMATPrepNow » Sun Nov 08, 2020 9:21 am
BTGModeratorVI wrote:
Thu Nov 05, 2020 7:58 am
What is the value of x ?

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

Answer: D
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

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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