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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What number is 6 more than x + y ? tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ### Top Member ## What number is 6 more than x + y ? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult What number is 6 more than x + y ? (1) y is 3 less than x. (2) y is twice x. C Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12906 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: What number is 6 more than x + y ? (1) y is 3 less than x. (2) y is twice x. C Source: Official Guide 2020 Target question: What is the value of x + y + 6? Statement 1: y is 3 less than x. We can write: y = x - 3 There are several values of x and y that satisfy this equation. Here are two: Case a: x = 3 and y = 0. In this case, the answer to the target question is x + y + 6 = 3 + 0 + 6 = 9 Case b: x = 4 and y = 1. In this case, the answer to the target question is x + y + 6 = 4 + 1 + 6 = 11 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: y is twice x. We can write: y = 2x There are several values of x and y that satisfy this equation. Here are two: Case a: x = 1 and y = 2. In this case, the answer to the target question is x + y + 6 = 1 + 2 + 6 = 9 Case b: x = 2 and y = 4. In this case, the answer to the target question is x + y + 6 = 2 + 4 + 6 = 12 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined Statement 1 tells us that y = x - 3 Statement 2 tells us that y = 2x We have 2 DIFFERENT linear equations with 2 variables. Since we COULD solve the system for x and y, we COULD determine the value of x + y + 6 ASIDE: Although we COULD solve the system of equations, we would never waste valuable time on test day doing so. We need only determine that we COULD answer the target question. Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10184 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're asked what number is 6 MORE than (X+Y). This question can be approached in a couple of different ways, including by TESTing VALUES. It's worth noting that the prompt does NOT place any restrictions on X and Y, so they could be positive, negative, 0, fractions, etc. (1) Y is 3 LESS than X. IF.... X=3 and Y=0, then the answer to the question is 3+0+6 = 9 X=4 and Y=1, then the answer to the question is 4+1+6 = 11 Fact 1 is INSUFFICIENT (2) Y is TWICE X. IF.... X=1 and Y=2, then the answer to the question is 1+2+6 = 9 X=2 and Y=4, then the answer to the question is 2+4+6 = 12 Fact 2 is INSUFFICIENT Combined, we know... Y is 3 LESS than X. Y is TWICE X. At this point, you might wonder how Y is LESS than X while also being TWICE X. This can happen when the variables are NEGATIVE. We can create the following two equations with the given information: Y = X - 3 Y = 2X This is a 'System' of equations (2 variables and 2 unique equations), so we CAN solve for the exact values of X and Y. They are: 2X = X - 3 X = -3 Y = -3 - 3 = -6 Thus, the answer to the question is (-3)+(-6)+6 = -3 Combined, SUFFICIENT Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Award-winning private GMAT tutoring Register now and save up to$200

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