GMATPrep2 problem- need shorter method

This topic has expert replies
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 2623
Joined: Mon Jun 02, 2008 3:17 am
Location: Montreal
Thanked: 1090 times
Followed by:355 members
GMAT Score:780

by Ian Stewart » Mon Aug 25, 2008 1:51 pm
The numerator and denominator are both differences of squares:

1001^2 - 999^2 = (1001+999)(1001-999) = 2000*2
101^2 - 99^2 = (101+99)(101-99) = 200*2

Cancel (2000*2)/(200*2) to get 10.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

ianstewartgmat.com

Senior | Next Rank: 100 Posts
Posts: 44
Joined: Mon Feb 25, 2008 10:36 pm

by jaydeer44 » Mon Aug 25, 2008 1:56 pm
thanks so much!