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

Home > Just Math
Digit Reversal And Subtraction (Posted on 2008-09-10) Difficulty: 3 of 5
N is a 3-digit positive integer (with no leading zeroes) divisible by 3, such that by reversing the digits of N/3 and subtracting 1 from the result, we will obtain N.

Determine all possible value(s) of N.

Bonus Question:

If the number of digits in N is > 3, with all the other conditions remaining the same, what is the minimum value of N?

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

See The Solution Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Bonus Questioned bottemiller2008-09-10 17:04:36
Solutionanalytical solutionpcbouhid2008-09-10 15:17:05
Originaled bottemiller2008-09-10 14:20:00
Solutionvalue(s) of N (partial spoiler)Dej Mar2008-09-10 13:45:23
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
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 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information