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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 is the average (arithmetic mean) of x and y? tagged by: M7MBA ##### This topic has 1 expert reply and 1 member reply ## What is the average (arithmetic mean) of x and y? What is the average (arithmetic mean) of x and y? (1) The average of x + 3 and y + 5 is 14. (2) The average of x, y, and 16 is 12. The OA is the option D . I know that the statement (2) is sufficient. But, how can I prove that the statement (1) is sufficient? ### GMAT/MBA Expert Senior | Next Rank: 100 Posts Joined 16 Dec 2014 Posted: 94 messages Followed by: 4 members Upvotes: 2 GMAT Score: 770 Top Reply M7MBA wrote: What is the average (arithmetic mean) of x and y? (1) The average of x + 3 and y + 5 is 14. (2) The average of x, y, and 16 is 12. The OA is the option D . I know that the statement (2) is sufficient. But, how can I prove that the statement (1) is sufficient? Avg = (x + y)/2 --> we need to be able to find x + y (1) SUFFICIENT (x + 3 + y + 5)/2 = 14 x + y + 8 = 28 x + y = 20 (x + y)/2 = 10 (2) SUFFICIENT (x + y + 16)/3 = 12 x + y + 16 = 36 x + y = 20 (x + y)/2 = 10 Legendary Member Joined 10 May 2014 Posted: 1072 messages Followed by: 23 members Upvotes: 205 M7MBA wrote: What is the average (arithmetic mean) of x and y? (1) The average of x + 3 and y + 5 is 14. (2) The average of x, y, and 16 is 12. The OA is the option D . I know that the statement (2) is sufficient. But, how can I prove that the statement (1) is sufficient? Question : Average of a and b = ? i.e. Question : x+y = ? Statement 1: The average of x + 3 and y + 5 is 14. (x+3)+(y+5) = 2*14 i.e. x + y = 20 SUFFICIENT Statement 2: The average of x, y, and 16 is 12 i.e. x+y+16 = 12*3 i.e. x + y = 20 SUFFICIENT Answer: option D _________________ Bhoopendra Singh & Sushma Jha - Founder "GMATinsight" Testimonials e-mail: info@GMATinsight.com I Mobile: +91-9999687183 / +91-9891333772 To register for One-on-One FREE ONLINE DEMO Class Call/e-mail One-On-One Private tutoring fee - US$40 per hour & for FULL COURSE (38 LIVE Sessions)-US$1000 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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