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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 w, x, y, z, and 10? tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ## What is the average (arithmetic mean) of w, x, y, z, and 10? What is the average (arithmetic mean) of w, x, y, z, and 10? (1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5 (2) -(-z - y -x - w) = 20 The OA is the option D. How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1606 messages Followed by: 27 members Upvotes: 470 Top Reply M7MBA wrote: What is the average (arithmetic mean) of w, x, y, z, and 10? (1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5 (2) -(-z - y -x - w) = 20 The OA is the option D. How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful. We have to get the average (arithmetic mean) of w, x, y, z, and 10. The average (arithmetic mean) of w, x, y, z, and 10 = (w + x + y + x + 10)/5. If we get the value of (w + x + y + x), we get the answer. Let's take each statement one by one. (1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5. => (w + y)/2 = 7.5 => w + y = 15 => (x + z)/2 = 2.5 => x + z = 5 => w + x + y + x = 15 + 5 = 20. Unique answer. Sufficient. (2) -(-z - y -x - w) = 20 => z + y +x + w = 20. Unique answer. Sufficient. The correct answer: D Hope this helps! _________________ Manhattan Review GMAT Prep Locations: New York | Jakarta | Nanjing | Berlin | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert Senior | Next Rank: 100 Posts Joined 16 Dec 2014 Posted: 94 messages Followed by: 4 members Upvotes: 2 GMAT Score: 770 M7MBA wrote: What is the average (arithmetic mean) of w, x, y, z, and 10? (1) The average (arithmetic mean) of w and y is 7.5; the average (arithmetic mean) of x and z is 2.5 (2) -(-z - y -x - w) = 20 The OA is the option D. How can I use statement (1) to get an answer here? Experts, may you help me? I'd be thankful. We want to find out what (w + x + y + z + 10)/5 equals. (1) tells us that (w + y)/2 = 7.5 or that w + y = 15, it also tells us that (x + z)/2 = 2.5 or that x + z = 5 Thus, we can use this to put into equation (w + x + y + z + 10)/5 ((x + z) + (w + y) + 10)/5 (5 + 15 + 10)/5 30/5 6 • FREE GMAT Exam Know how you'd score today for$0

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