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

Home > Numbers
number sum equals all digit sum (Posted on 2021-01-13) Difficulty: 4 of 5
Show that one can find 50 distinct positive integers such that the sum of each number and its digits is the same.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
thoughts | Comment 1 of 2
If I understand the problem correctly, we are looking for sets of numbers that when each is added to its individual digits, a number
results that is the same number for all members of the set. For example, consider the pair: 92 and 101. Or consider the pair: 9900035 and 9899999. 

I am thinking such numbers come in pairs only. 

  Posted by Steven Lord on 2021-01-13 22:34:11
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 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information