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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The average of p,q and 40 is 20 more than the average of  Question banks Downloads My Bookmarks Reviews Important topics
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Intern Joined: 15 Sep 2017
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The average of p,q and 40 is 20 more than the average of [#permalink] 00:00

Question Stats: 83% (00:51) correct 16% (00:00) wrong based on 6 sessions
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 VP Joined: 20 Apr 2016
Posts: 1087
WE: Engineering (Energy and Utilities)
Followers: 16

Kudos [?]: 917  , given: 226

Re: The average of p,q and 40 is 20 more than the average of [#permalink]
1
KUDOS
AchyuthReddy Array[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]
1
KUDOS
Expert's post
AchyuthReddy Array[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.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews 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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