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) \(2y - w = 56\)
Answer:
A
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
Answer: A
Cheers,
Brent
