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In this case there are several values of (x,y) that satisfy the equation such as (1,6),(2,5),(3,4),(4,3),(5,2) and (6,1). If we substitute these value in the main eqn x/3 + y/4 we get different values. therefore this option is ruled out.

Now Consider b)4x+3y=24 . The values that satisfy this eqn are (6,0),(0,8) and (3,4). Once we substitute all the values in the main eqn x/3+y/4 we always get the value as 2.

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

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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