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

Home > Numbers
Powering up the digits III (Posted on 2010-01-24) Difficulty: 2 of 5
Substitute each of the capital letters by a different base ten digit from 0 to 8 to satisfy each of the following cryptarithmetic relationships.

  • ABCDEFGF = AE + BE + CE + DE + EE + FE + GE + FE, where each of A and E is nonzero, and:

  • ABCDEFGF does not contain the digit 1, and:
  • Reading from left to right, odd digits appear in descending order of magnitude, but the nonzero even digits appear in ascending order of magnitude, in ABCDEFGF.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

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

ABCDEFGF = 24,678,050 = 2^8 + 4^8 + 6^8 + 7^8 + 8^8 + 5^8

(I don't think the 3rd criterion is necessary, about the odd & even digits, because the above solution was the only one I found anyway.)


  Posted by Jim Keneipp on 2010-01-24 14:58:04
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information