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

Home > Numbers
Insert Zero (Posted on 2016-03-21) Difficulty: 3 of 5

Find all integers n greater than nine that satisfy
the following:

The integer formed by inserting the zero digit
between the units and the tens digits of n is
a multiple of n.   

See The Solution Submitted by Bractals    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Solution | Comment 4 of 5 |
(In reply to Solution by Jer)

I never actually "solved" it.

Within seconds I  "GUESSED"  that 15,18 and 10*k fit.

I also "tried" 25,35 which did  not...

It is really amazing that 45 is the only number, that avoided this quick detection.. 

Nice problem, indeed.

BTW, the statement "greater than nine" is irrelevant since the problem refers to numbers which have  at least two digits (denoting units and tens).

Edited on March 21, 2016, 2:36 pm
  Posted by Ady TZIDON on 2016-03-21 14:30:44

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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information