All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
Look for the pairs (
Posted on 20101015
)
Find the number of positive integer pairs (x; y) satisfying:
1/x+1/y=1/2010
Try to generalize for 1/n.
No Solution Yet
Submitted by
Ady TZIDON
Rating:
4.0000
(1 votes)
Comments: (
Back to comment list
 You must be logged in to post comments.
)
No Subject
 Comment 2 of 3 
Well, xdog has done all the heavy lifting, except for a small typo.
2010 factors as 2*3*5*67. Answer is still 81.
In general,
(xn)(yn) = n^2,
so the number of satisfying pairs is just the number of divisors of n^2.
Edited on
October 15, 2010, 2:45 pm
Posted by
Steve Herman
on 20101015 14:41:30
Please log in:
Login:
Password:
Remember me:
Sign up!

Forgot password
Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ

About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2017 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information