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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 ## The sum of two integers is 27. The larger integer is 25% tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## The sum of two integers is 27. The larger integer is 25% ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Princeton Review The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers? A. 3 B. 6 C. 9 D. 12 E. 15 The OA is A ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12989 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorLU wrote: Source: Princeton Review The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers? A. 3 B. 6 C. 9 D. 12 E. 15 Let x = the smaller integer So, 1.25x = the larger integer (since the larger integer is 25% greater than the smaller integer) The sum of two integers is 27. We can write: x + 1.25x = 27 Simplify: 2.25x = 27 Solve: x = 27/2.25 IMPORTANT: What's a nice fast way to evaluate 27/2.25? An easy way is to create an EQUIVALENT fraction that has a nice denominator. Take: 27/2.25 Double the top and bottom to get: 54/4.5 (better) Double the top and bottom again to get: 108/9 (aha!!!) Evaluate: 108/9 = 12 So, x = 12 So, the smaller number is 12 1.25x = the larger integer 1.25(12) = 15 The positive difference = 15 - 12 = 3 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 GMAT Instructor Joined 25 May 2010 Posted: 15356 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorLU wrote: Source: Princeton Review The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers? A. 3 B. 6 C. 9 D. 12 E. 15 25% greater = 1/4 greater. If the smaller integer = 4, then the larger integer = 4 + (1/4)4 = 5. The values in red imply that the two integers summing to 27 must be in a RATIO OF 4 TO 5: 4, 5 8, 10 12, 15 The case in blue sums to 27, with the result that larger-smaller = 15-12 = 3. The correct answer is A. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2811 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: Princeton Review The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers? A. 3 B. 6 C. 9 D. 12 E. 15 The OA is A We can let the smaller integer = n and the larger integer = 1.25n; thus: n + 1.25n = 27 2.25n = 27 n = 12 Thus, the larger integer is 1.25 x 12 = 15, and the difference between the two integers is 15 - 12 = 3. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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