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

Home > Just Math
Getting the Numbers With Product And Quotient (Posted on 2007-09-17) Difficulty: 3 of 5
(A) Analytically determine all possible two digit positive decimal integers n, that satisfy this equation:

       n = p + 4c

where p is the product of the digits of n, while c is the result when the unitís digit is divided by the tens digit.

(B) For what positive integer bases N< 10 do valid solutions to the above equation exist?

See The Solution Submitted by K Sengupta    
Rating: 1.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Analytical solution | Comment 4 of 7 |

 

Analytical solution boils down to

 SOLVE

bm+n= mn+4m/n b is the base

substitute t=n/m and solve for t= 1,2,3,4

you will get al the couples m.n for b<10

 


  Posted by Ady TZIDON on 2007-09-17 12:56:41
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information