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# What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4  [#permalink]

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10 Oct 2019, 23:15
00:00

Difficulty:

25% (medium)

Question Stats:

92% (00:21) correct 8% (00:16) wrong based on 13 sessions

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What is the value of 2x - y?

(1) x + y = 12
(2) x - y = 4

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Joined: 10 Apr 2018
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Location: India
Concentration: Entrepreneurship, Strategy
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What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4  [#permalink]

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11 Oct 2019, 12:20
To find the value of 2x-y, we need values of x and y.

(1) From this statement, we can't find values of x and y.
Thus, insufficient.

(2) From this statement, we can't find values of x and y.
Thus, insufficient.

From (1) and (2) together, we can find the values of x and y by simultaneously solving the two equations.
Thus, sufficient.

Therefore, the answer is option C.
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Re: What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4  [#permalink]

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11 Oct 2019, 15:54
Bunuel wrote:
What is the value of 2x - y?

(1) x + y = 12
(2) x - y = 4

Analyzing the question:
We need to be cautious of having sufficient single statements without solving x or y. For example x - 0.5y = 1 or 2x = y + 2 would be sufficient. To prevent these mistakes, always put all variables on one side then compare with 2x -y.

Statement 1: Insufficient.
Statement 2: Insufficient.
Combined: Two linearly independent equations have one unique solution, therefore the value of x and y can be solved. Sufficient.

Ans: C
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Re: What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4   [#permalink] 11 Oct 2019, 15:54
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# What is the value of 2x - y? (1) x + y = 12 (2) x - y = 4

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