Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 25 May 2013, 12:55
Customize  |  Hide

Search
Register
New posts
Unanswered

The sum of the reciprocal of the ages of two sisters is five

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1

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

GMAT Tests User
The sum of the reciprocal of the ages of two sisters is five [#permalink] New post 29 Feb 2004, 15:58
The sum of the reciprocal of the ages of two sisters is five times the difference of the reciprocal of their ages. If the ratio of the product of their ages to that of the sum of their ages is 12:1, what is the age of the elder sister?

20
25
30
40
45
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

GMAT Club Legend
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4441
Followers: 10

Kudos [?]: 82 [0], given: 0

GMAT Tests User
 [#permalink] New post 29 Feb 2004, 16:36
C for me

Let X = age of older sister
Let Y = age of younger sister

From 1) 1/X + 1/Y = 5(1/Y - 1/X) --> We have to take reciprocal of age of younger sister minus reciprocal of age of older sister in order to have a positive difference
From 2) XY / (X + Y) = 12 --> XY = 12X + 12Y --> X = 12X/Y + 12

We can simplify first stem to: 1/X + 1/Y = 5/Y - 5/X --> 6/X = 4/Y --> Y = 2X/3

Plug this in second stem: X = [12X / (2X/3)] + 12 = 18 + 12 = 30
_________________

Best Regards,

Paul

  [#permalink] 29 Feb 2004, 16:36
    Similar topics Author Replies Last post
Similar
Topics:
 New posts If S is the sum of the reciprocals of the consecutive JAI HIND 7 23 Dec 2005, 02:19
New posts S is the sum of the reciprocal of a list of consecutive laxieqv 5 09 Jun 2006, 10:42
New posts The sum of the reciprocals of two numbers is 46/21 and the lfox2 5 12 Dec 2006, 00:22
New posts If D is the sum of the reciprocals of the consecutive jet1445 2 28 Jul 2007, 09:45
Moved topic 1 EXPERTS_POSTS_IN_THIS_TOPIC Which of the following could be the sum of the reciprocals milind1979 5 31 Mar 2009, 21:29
Display posts from previous: Sort by

The sum of the reciprocal of the ages of two sisters is five

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com