Last visit was: 24 Jun 2024, 00:15 It is currently 24 Jun 2024, 00:15
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93968
Own Kudos [?]: 634419 [6]
Given Kudos: 82422
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6806
Own Kudos [?]: 30623 [2]
Given Kudos: 799
General Discussion
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6050
Own Kudos [?]: 4752 [0]
Given Kudos: 463
Location: India
GPA: 3.5
Intern
Joined: 20 Sep 2021
Posts: 8
Own Kudos [?]: 5 [0]
Given Kudos: 9
Location: Netherlands
GMAT 1: 730 Q47 V42
GPA: 3.4
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
Nice question. I spent way too much time on this at first.

We are given all items in relation to each other, which can be translated as; p/2=q/7=r/11.
Furthermore, we are given r=p+q+6.

And finally, we need to find r+p =?.

Step 1) Calculate what r is in terms of p
r=11p/2

Step 2) insert in question
r+p = 11p/2+p = 13p/2

So we want to know the value of p now.

Step 3) Calculate the value of p by substituting everything into the other equation based on the ratios:
r=p+q+6 =>
11p/2 = p + (7p/2) +6
11p/2 = 9p/2 + 6
2p/2 = 6
p = 6

Step 4) is filling in p in the question (as calculated in step 1)

13p/2 = (13*6)/2 = 13*3 = 39

p = 39 is answer C
Director
Joined: 29 Apr 2019
Status:Learning
Posts: 734
Own Kudos [?]: 587 [1]
Given Kudos: 49
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
1
Bookmarks
r = (p + q) + 6
11x = (2x + 7x) + 6
11x - 9x = 6
X = 3

P = 2x = 2*3 = 6
R = 11x = 11*3 = 33
P+ R = 33+6 = 39
Option C = 39

Posted from my mobile device
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10138
Own Kudos [?]: 16886 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
If p = 2 , q = 7 and r = 11 then r(11) is 2 greater than (p + q = 2 + 7 = 9)

For 'r' to be '6' greater, multiply the values by '3'.

p = 6, q = 21 and r = 33 => 33 is '6' greater than (p + q = 6 + 21 = 27)

Hence, p + r = 6 + 33 = 39

Intern
Joined: 25 Mar 2023
Posts: 6
Own Kudos [?]: 0 [0]
Given Kudos: 3
Location: India
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
I made equation as 11x + 6 = (2x + 7x) i.e. r + 6 = p + q where am i getting it wrong?

Will it be right in case if question would have said r is 6 more than (p+q)?

Little bit confused in greater than and more than words. Can someone exlain?
Math Expert
Joined: 02 Sep 2009
Posts: 93968
Own Kudos [?]: 634419 [0]
Given Kudos: 82422
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
xoxokunal wrote:
The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of p and q. What is the value of p + r ?

(A) 27
(B) 33
(C) 39
(D) 54
(E) 60

I made equation as 11x + 6 = (2x + 7x) i.e. r + 6 = p + q where am i getting it wrong?

Will it be right in case if question would have said r is 6 more than (p+q)?

Little bit confused in greater than and more than words. Can someone exlain?

The phrase "r is 6 greater than the sum of p and q" means r = (p + q) + 6. See there, r is equal to 6 more than (p + q). Therefore, your equation should be 11x = (2x + 7x) + 6.

I hope this clears up the confusion!
Intern
Joined: 25 Mar 2023
Posts: 6
Own Kudos [?]: 0 [0]
Given Kudos: 3
Location: India
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
Yeah! Thank you so much.
Re: The ratio of p to q to r is 2:7:11, and r is 6 greater than the sum of [#permalink]
Moderator:
Math Expert
93964 posts