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

Question

(A) 0 
(B) 1/2 
(C) 5/3 
(D) 10/3 
(E) 7/2

Source:   Nova GMAT  
Difficulty Level:   550

pushpitkc · Answer

Given P = (x + y)k. We also know that P=10,k=3 
Substituting, 10 = 3(x+y) or x+y =  \frac{10}{3} 
Since we need to know what is the average of x and y, it can be given by expression  \frac{(x+y)}{2}

Hence,  \frac{(x+y)}{2}  =  \frac{10}{3}*\frac{1}{2} 
 \frac{(x+y)}{2}  =  \frac{5}{3}  (Option C)

spc11 · Answer

C.
10= (x+y)3
x+y = 10/3
Avg of (x+y)= 10/6= 5/3

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ScottTargetTestPrep · Answer

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

OptimusPrepJanielle · Answer

On substituting the values of P and k, we get:

10 = (x+y)*3
Or, (x + y) = 10/3

Hence average of x and y = (x+y)/ 2 = (10/3)/2 = 5/3

Correct Option: C

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

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GMAT Problem Solving (PS) Questions

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

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