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What is the value of x/3+y/3?

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What is the value of x/3+y/3?

by Gmat_mission » Mon Jun 11, 2018 2:03 am

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What is the value of x/3+y/3?

(1) (x+y)/3 = 6

(2) x + y = 18

[spoiler]OA=D[/spoiler]

How can I get an answer just using one statement? Are not needed both equations to solve this DS question? Help!!!<i class="em em-weary"></i>
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Mon Jun 11, 2018 4:44 am

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Gmat_mission wrote:What is the value of x/3 + y/3?

(1) (x + y)/3 = 6
(2) x + y = 18
Target question: What is the value of x/3 + y/3?

Statement 1: (x + y)/3 = 6
Nice (and often tested) rule: (a + b)/c = a/c + b/c
So, we can rewrite the equation as: x/3 + y/3 = 6
So, the answer to the target question is x/3 + y/3 = 6
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x + y = 18
Take x + y = 18 and divide both sides by 3 to get: x/3 + y/3 = 18/3
Simplify to get: x/3 + y/3 = 6
So, the answer to the target question is x/3 + y/3 = 6
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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