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

Home > Just Math
Unique Value (Posted on 2013-07-14) Difficulty: 4 of 5
At the outset, take a certain 3-digit base ten positive integer N composed entirely of nonzero digits. The three digits may or may not be distinct.
Step-1: Add the digits of N.
Step-2: Multiply the digits of N.
Step-3: Multiply the result obtained in Step-1 by the result obtained in Step-2.
Step-4: Multiply the result obtained in Step-3 by the units digit of N.
Surprise ! The result obtained in Step-4 is N itself !!

The value of N having this property is unique. What is that value? Prove that there are no others.

*** No computer programs.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Comment 1 of 1





  Posted by Salil on 2013-07-15 07:06:31
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 (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information