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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 ## Is x = y? tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ## Is x = y? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Is x = y? (1) 2x/3 - y/3 = 1/3 (2) x/4 - y/4 = 0 B Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12985 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: Is x = y? (1) 2x/3 - y/3 = 1/3 (2) x/4 - y/4 = 0 Target question: Is x = y? Statement 1: 2x/3 - y/3 = 1/3 Multiply both sides by 3 to get: 2x - y = 1 There are several values of x and y that satisfy this equation. Here are two: Case a: x = 1 and y = 1. In this case, the answer to the target question is YES, it is the case that x = y Case b: x = 2 and y = 3. In this case, the answer to the target question is NO, it is not the case that x = y Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: x/4 - y/4 = 0 Multiply both sides by 4 to get: x - y = 0 Add y to both sides to get: x = y The answer to the target question is YES, it is the case that x = y Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: B 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: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're asked if X = Y. This is a YES/NO question can be solved with a mix of Arithmetic and TESTing VALUES. 1) (2X/3) - (Y/3) = 1/3 Since each value in this equation is divided by 3, we can 'simplify' the equation by multiplying each term by 3. This gives us: 2X - Y = 1 2X = Y + 1 IF.... X=1 and Y= 1, then the answer to the question is YES. X=1.5 and Y= 2, then the answer to the question is NO. Fact 1 is INSUFFICIENT 2) (X/4) - (Y/4) = 0 Since each value in this equation is divided by 4, we can 'simplify' the equation by multiplying each term by 4. This gives us: X - Y = 0 X = Y The information in Fact 2 tells us that X and Y are EQUAL, so the answer to the question is ALWAYS YES. Fact 2 is SUFFICIENT Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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