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

Home > Numbers
Smallest Number (Posted on 2004-01-25) Difficulty: 3 of 5
Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.

See The Solution Submitted by Ravi Raja    
Rating: 3.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Standard solution | Comment 15 of 23 |
There's an standard solution using continued fractions. Assume we are looking for a number abc...z.

Let's write the fraction Therefore, (x+z)/10= 0.zabc...zabc...zabc...z..., which should be 1.5x.

Equating members, x=z/14. With z=4, we get x=0.285714, which ends in 4 as needed, so the number is 285714.
  Posted by Federico Kereki on 2004-01-26 11:41:02

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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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