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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 Let P = (x + y)k. If P = 10 and k = 3 tagged by: Brent@GMATPrepNow This topic has 4 expert replies and 0 member replies Top Member Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y? (A) 0 (B) 1/2 (C) 5/3 (D) 10/3 (E) 7/2 Can some experts help me find the best solution in this problem? OA C GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 lheiannie07 wrote: Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y? (A) 0 (B) 1/2 (C) 5/3 (D) 10/3 (E) 7/2 We are given that P = (x + y)k, P = 10, and k = 3. Thus: 10 = (x + y)3 10/3 = x + y Since x + y = 10/3, the average of x and y is (x +y)/2 = (10/3)/2 = 10/6 = 5/3. Answer: C GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y? (A) 0 (B) 1/2 (C) 5/3 (D) 10/3 (E) 7/2 Hi lheiannie07, Let's take a look at your question. $$P\ =\left(x+y\right)k$$ $$10\ =\left(x+y\right)3$$ $$x+y=\frac{10}{3} ... (i)$$ We know that average of x and y can be calculated as, $$Average\ =\ \frac{x+y}{2}$$ Plugin the value of x+y from eq(i), we get: $$Average\ =\ \frac{10}{3\times2}$$ $$Average\ =\ \frac{5}{3}$$ Therefore, option C is correct. Hope it helps. I am available if you'd like any follow up. _________________ 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 Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 lheiannie07 wrote: Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y? (A) 0 (B) 1/2 (C) 5/3 (D) 10/3 (E) 7/2 Can some experts help me find the best solution in this problem? OA C Ultimately, we want to solve for the average of x and y, or (x + y)/2. Initially, we're given 10 = (x + y) * 3 10/3 = x + y 1/2 * (10/3) = (x + y)/2 5/3 = (x + y)/2 The answer is C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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lheiannie07 wrote:
Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?

(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
Given: P = (x + y)k, P = 10, and k = 3
Plug in P = 10 and k = 3, to get: 10 = (x + y)(3)
Divide both sides by 3 to get: 10/3 = (x + y)

What is the average of x and y?
The average of x and y = (x + y)/2
= (10/3)/2
= 10/6
= 5/3
= C

Cheers,
Brent

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