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

Home > Just Math
Digit Reversal Puzzle (Posted on 2015-07-27) Difficulty: 3 of 5
N is a 4-digit positive integer, whose last digit is not zero, and which does not contain any leading zeros. R(N) is the four-digit integer obtained by reversing the digits of N; for example, R(4386) = 6834

Determine all values of N that satisfy: R(N) = 4N + 3

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution a short explanation Comment 2 of 2 |

The 1st digits is clearly 1, forcing last digit to be 7.

Therefore we have to find x and y in the concatenation 1xy7.


the above reduces to x=(99+2y)/13

solvable  in integers   only as   y=9 and  x=9

answer:  1997

My remark (at most d2) was flatly ignored.

Edited on July 27, 2015, 9:42 am
  Posted by Ady TZIDON on 2015-07-27 09:08:39

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information