## What is the value of $$x?$$

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### What is the value of $$x?$$

by Gmat_mission » Thu Aug 20, 2020 9:20 am

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## Global Stats What is the value of $$x?$$

(1) $$w + y = 118$$

(2) $$2y - w = 56$$

Source: Magoosh

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### Re: What is the value of $$x?$$

by [email protected] » Wed Mar 30, 2022 8:28 am

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## Global Stats

Gmat_mission wrote:
Thu Aug 20, 2020 9:20 am
GMAT_DS_Magoosh_197.png

What is the value of $$x?$$

(1) $$w + y = 118$$

(2) $$2y - w = 56$$

Source: Magoosh
To begin, since w, x and y are the three angles in a triangle we know that: w + x + y = 180

Target question: What is the value of x?

Statement 1: w + y = 118
Take: w + x + y = 180
Rearrange: (w + y) + x = 180
Replace w + y with 118 to get: (118) + x = 180
Solve to get: x = 62
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 2y - w = 56
Solve for w to get: w = 2y - 56
Replace w with 2y - 56 to get: 2y - 56 + y + x = 180
As we can see, there is no way to solve for the value of x
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT