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# What is the value of x/3 + y/4?

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What is the value of x/3 + y/4? [#permalink]
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Bunuel wrote:
What is the value of x/3 + y/4?

(1) x/12 + y/12 = 7/12
(2) 4x + 3y = 24

Target question: What is the value of x/3 + y/4?

This is a good candidate for rephrasing the target question.
Let's take x/3 + y/4 and rewrite it. First we need a common denominator (of 12).
We get: x/3 + y/4 = 4x/12 + 3y/12 = (4x + 3y)/12
So, if we can determine the sum (4x + 3y), then we can answer the target question. So, let's REPHRASE the target question as....
REPHRASED target question: What is the value of 4x + 3y?

Statement 1: x/12 + y/12 = 7/12
Take the equation and multiply both sides by 12 to get: x + y = 7
Is this enough information to answer our rephrased target question?
No.
There are several values of x and y that satisfy the equation x + y = 7. Here are two:
Case a: x = 1 and y = 6, in which case 4x + 3y = 4(1) + 3(6) = 22
Case b: x = 2 and y = 5, in which case 4x + 3y = 4(2) + 3(5) = 23
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 4x + 3y = 24
Perfect!! This is exactly what our REPHRASED target question is asking for.
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT

Answer:

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Originally posted by BrentGMATPrepNow on 18 Apr 2017, 08:42.
Last edited by BrentGMATPrepNow on 28 Dec 2019, 07:36, edited 1 time in total.
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Re: What is the value of x/3 + y/4? [#permalink]
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Re: What is the value of x/3 + y/4? [#permalink]
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