 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Powering up the digits III (Posted on 2010-01-24) 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:

 Search: Search body:
Forums (3)