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GMAT Quantitative Reasoning Practice Test 5

Question : 92 of 100

Marks: +1, -0

What is the

x+2y

2x+4y=20

y=5-x

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Solution:

If you take statement (1) and divide each term by 2, the result is

x + 2y = 10

. Thus,

x + 2y

is solved for. If you take statement (2) and add

\frac{1}{2}x

to both sides and multiply each term by 2, the result is also

x + 2y = 10

. Therefore, either statement is sufficient.

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