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Does x + c = y + c ?

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Source: — Data Sufficiency |

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Re: Does x + c = y + c ?

by Brent@GMATPrepNow » Fri May 15, 2020 8:59 am

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C

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BTGModeratorVI wrote: ↑
Tue May 12, 2020 2:10 pm
 Does x + c = y + c ?

(1) x = y
(2) x = c

Answer: A
Source: GMATPrep test
Target question: Does x + c = y + c ?
This is a good candidate for rephrasing the target question.
Take the equation x + c = y + c, and subtract c from both sides to get: x = y

REPHRASED target question: Does x = y ?

Aside: Here’s a video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100

Statement 1: x = y
Perfect!The answer to the REPHRASED target question is YES, x = y
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: x = c
Since we know nothing about the value of y, we cannot answer the REPHRASED target question
Statement 2 is NOT SUFFICIENT

Answer: A

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Does x + c = y + c ?

by swerve » Fri May 15, 2020 12:26 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGModeratorVI wrote: ↑
Tue May 12, 2020 2:10 pm
 Does x + c = y + c ?

(1) x = y
(2) x = c

Answer: A
Source: GMATPrep test
From (1) we have
\(x=y\), add \(c\) on both sides of the equation
\(x+c= y+c\) \(\Large{\color{green}\checkmark}\)

From (2)we have
\(x=c\), if \(x=y\) then answer is yes

But if \(x > y\) then answer is no.

Two different answers. \(\Large{\color{red}\chi}\)

Therefore, the correct answer is A
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