if 1/xy (x+y)=3/4, and 1/y=1/2, what is the value of 1/x

This topic has expert replies
User avatar
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Mon Sep 03, 2012 6:47 pm

User avatar
MBA Admissions Consultant
Posts: 2279
Joined: Fri Nov 11, 2011 7:51 am
Location: New York
Thanked: 660 times
Followed by:266 members
GMAT Score:770

by Jim@StratusPrep » Tue Sep 04, 2012 7:57 pm
The second statement says that y = 2....

So, 1/ 2x (x +2) = 3/4

or

x + 2 / 2x = 3/4

so 4x + 8 = 6x

8 = 2x or x = 4

Correct me if I got the translation of your question wrong...
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review

Image

User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Sep 05, 2012 12:25 am
1/x + 1/y = (y+x)/xy.
Thus:
1/x = (x+y)/xy - 1/y = 3/4 - 1/2 = 1/4.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Wed Aug 03, 2011 2:30 am
Location: India

by prachisharma » Fri Sep 07, 2012 10:25 am
as per sceond equation, y=2

solve equation 1 using "y=2"

(x+y)/xy=3/4
4x+8=6x
x=4
1/x=1/4
Prachi Sharma