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

Home > Just Math
5 Digit Number III (Posted on 2014-04-22) Difficulty: 1 of 5
Determine all possible values of a 5-digit positive integer N, such that:
  1. The first two digits of N, read as a two digit number, are three times the third digit, and:
  2. The last two digits of N (read as a two digit number) are twice the third digit, and:
  3. The sum of all the digits of N is 27.
Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Proof | Comment 2 of 3 |

Exhaust the center-digit possibilities:

00000 isn't a 5-digit number and doesn't add to 27
03102 has leading zero and adds to 6
06204 similar problems
09306 also
12408 adds to 15
15510 adds to 12
18612 adds to 18
21714 adds to 15
24816 adds to 21
27918 adds to 27  solution

  Posted by Charlie on 2014-04-22 13:28:47
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 (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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