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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 ## Jones has worked at Firm X twice as many years as Green tagged by: AbeNeedsAnswers ##### This topic has 4 expert replies and 0 member replies ## Jones has worked at Firm X twice as many years as Green ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? (1) Jones has worked at Firm X 9 years longer than Smith. (2) Green has worked at Firm X 5 years less than Jones. D Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 AbeNeedsAnswers wrote: Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? (1) Jones has worked at Firm X 9 years longer than Smith. (2) Green has worked at Firm X 5 years less than Jones. D Source: Official Guide 2020 Say Jones worked for J years, Green G years, and Smith S years in Firm X. Thus, J = 2G and G = S + 4 We have to get the value fo G. Let's take each statement one by one. (1) Jones has worked at Firm X 9 years longer than Smith. J = S + 9 From J = 2G, G = S + 4, and J = S + 9, we get G = 5. Sufficient (2) Green has worked at Firm X 5 years less than Jones. G = J - 5 From J = 2G, G = S + 4, and G = J - 5, we get G = 5. Sufficient The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Antonio | GRE Prep Courses Boston | Houston IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 02 Jun 2008 Posted: 2475 messages Followed by: 351 members Upvotes: 1090 GMAT Score: 780 If Jones has worked twice as many years as Green, and has also worked 5 years longer than Green, then Green has worked 5 years and Jones has worked 10. So Statement 2 is sufficient. We can deduce from Statement 1 that Jones has worked 5 years longer than Green, so Statement 1 is also sufficient, and the answer is D. _________________ If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13001 messages Followed by: 1250 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? (1) Jones has worked at Firm X 9 years longer than Smith. (2) Green has worked at Firm X 5 years less than Jones. D Source: Official Guide 2020 We can also solve the question using one variable Given: Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. Let G = the number of years Green worked at Firm X So, G - 4 = the number of years Smith worked at Firm X (since we're indirectly told Smith worked 4 years less than Green) And 2G = the number of years Jones worked at Firm X (since we're told Jones has worked at Firm X twice as many years as Green) Target question: How many years has Green worked at Firm X? In other words, "What is the value of G?" Statement 1: Jones has worked at Firm X 9 years longer than Smith. In other words, (Jones' years) = (Smith's years) + 9 Replace values to get: 2G = (G - 4) + 9 Simplify: 2G = G + 5 Solve: G = 5 The answer to the target question is Green worked at Firm X for 5 years Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: Green has worked at Firm X 5 years less than Jones. In other words, (Green's years) = (Jones' years) - 5 Replace values to get: G = (2G) - 5 Solve: G = 5 The answer to the target question is Green worked at Firm X for 5 years Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D 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 told that Jones has worked at Firm X TWICE as many years as Green, and Green has worked at Firm X four years LONGER than Smith. We're asked for the number of years that Green has worked at Firm X. This question can be approached in a couple of different ways, but there's a built-in Algebra 'shortcut' that we can take advantage of. From the given information, we can create a couple of equations - and that should get you thinking about "System Math" (re: 2 variables and 2 unique equations, 3 variables and 3 unique equations, etc.). To start, we'll use the variables J, G and S for Jones, Green and Smith, respectively. We can then create 2 equations: J = 2G G = S + 4 We're asked to find the value of G. Right now, we have 3 variables, but just 2 equations. If we can get one more UNIQUE equation involving some combination of these three variables, then we'll have a System of equations - and can solve for all 3 variables. (1) Jones has worked at Firm X 9 years longer than Smith. With the information in Fact 1, we can create the following equation: J = S + 9 We now have a third unique equation, so we could solve for all 3 variables - including G. The shortcut is that we don't actually have to do that math; having the necessary equations to do it proves that we COULD get the one value of G that exists to answer the question. Fact 1 is SUFFICIENT (2) Green has worked at Firm X 5 years less than Jones. With the information in Fact 2, we can create the following equation: G = J - 5 Again, we have a third unique equation, so we could solve for all 3 variables - including G. The shortcut is that we don't actually have to do that math; having the necessary equations to do it proves that we COULD get the one value of G that exists to answer the question. Fact 2 is SUFFICIENT Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • FREE GMAT Exam Know how you'd score today for$0

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