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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 ## If y and x are numbers such that x + y = 17 . . . . tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If y and x are numbers such that x + y = 17 . . . . If y and x are numbers such that x + y = 17 and 2x - y = 6, what is the value of x/2? A. 23/6 B. 11/2 C. 23/3 D. 11 E. 23 The OA is A . Experts, what is the fastest way to solve this PS question? Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello M7MBA. The fastest way to solve this PS question is adding both equations. Adding $$x+y=17\ and\ 2x-y=6$$ you will get $$3x=23,\ so\ x=\frac{23}{3}.$$ Now, we only have to divide by 2. Hence, $$\frac{x}{2}=\frac{\frac{23}{3}}{2}=\frac{23}{6}.$$ Then, the correct answer is A . I hope this explanation may help you. There are other ways to solve it, but it is the fastest (and easiest). I'm available if you'd like a follow up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1465 messages Followed by: 19 members Upvotes: 39 M7MBA wrote: If y and x are numbers such that x + y = 17 and 2x - y = 6, what is the value of x/2? A. 23/6 B. 11/2 C. 23/3 D. 11 E. 23 We can add the two given equations together and we have: (x + y = 17) + (2x - y = 6) 3x = 23 x = 23/3 Thus, x/2 = (23/3)/2 = 23/6. Answer: A • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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 • Award-winning private GMAT tutoring Register now and save up to$200

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