It is currently 24 Mar 2019, 09:55

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:
Intern
Joined: 15 Sep 2017
Posts: 34
Followers: 0

Kudos [?]: 15 [0], given: 2

The average of p,q and 40 is 20 more than the average of [#permalink]  10 Sep 2018, 22:31
00:00

Question Stats:

100% (01:38) correct 0% (00:00) wrong based on 2 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
Director
Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 [1] , given: 124

Re: The average of p,q and 40 is 20 more than the average of [#permalink]  12 Sep 2018, 19:21
1
KUDOS
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
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 4

Kudos [?]: 125 [1] , given: 0

Re: The average of p,q and 40 is 20 more than the average of [#permalink]  19 Sep 2018, 17:01
1
KUDOS
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.

_________________

Jeffery Miller

GRE Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: The average of p,q and 40 is 20 more than the average of   [#permalink] 19 Sep 2018, 17:01
Display posts from previous: Sort by

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

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.