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The average of p,q and 40 is 20 more than the average of

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Intern
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The average of p,q and 40 is 20 more than the average of [#permalink] New post 10 Sep 2018, 22:31
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The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?

A)95

B)190

C)220

D)240

E)380
[Reveal] Spoiler: OA
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Director
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Re: The average of p,q and 40 is 20 more than the average of [#permalink] New post 12 Sep 2018, 19:21
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AchyuthReddy wrote:
The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?

A)95

B)190

C)220

D)240

E)380


Let the average no. of p, q and 40 = X

Now if we add 60 to it the value is 20 less,

or else we can re write as :

3X + 60 = 4(X-20)

3X + 60 = 4X - 80

or X = 140

i.e. we have,

p + q + 40 = 3*140 = 420

or p+q = 380

or \(\frac{p+q}{2} = 190\).
i.e. Option B
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Re: The average of p,q and 40 is 20 more than the average of [#permalink] New post 19 Sep 2018, 17:01
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Expert's post
AchyuthReddy wrote:
The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?

A)95

B)190

C)220

D)240

E)380


We can create the equation:

(p + q + 40)/3 = 20 + (p + q + 40 + 60)/4

(p + q + 40)/3 = 20 + (p + q + 100)/4

Multiplying the equation by 12, we have:

4(p + q + 40) = 240 + 3(p + q + 100)

4p + 4q + 160 = 240 + 3p + 3q + 300

p + q = 380

Thus, the average p and q is 380/2 = 190.

Answer: B
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Head of GRE Instruction

GRE Quant Self-Study Course
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Re: The average of p,q and 40 is 20 more than the average of   [#permalink] 19 Sep 2018, 17:01
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