All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Find the area (Posted on 2011-04-08) Difficulty: 3 of 5
If RE*ER= AREA evaluate the AREA .

Please evaluate using pencil and paper only.

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 4 of 5 |

We have 1001a+100r+10e on RHS.

Move the r and e factors to LHS: (10r+e)*(10e+r)-100r-10x; (10(e-1)+r)(10r+e) = 1001a.

1001=7*11*13

Assume 11 divides (10r+e); then r=e. So 11 divides (10(e-1)+r) and r=(e-1). If 13*7 divides (10r+e) then e=1, which is impossible since r would then equal both 0 and 9. So (10(e-1)+r)=77 and e=8,r=7. Now we have 87*78 = 6786 and a=6.

QED


  Posted by broll on 2011-04-09 07:23:23
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 (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information