Part 1.
Find a 5-digit integer that consists of five consecutive digits, not necessarily in numerical order, such that, when multiplied by 8, the product is a 5-digit number consisting of the other five digits.

Part 2.
Find a 5-digit integer that consists of five consecutive digits, not necessarily in numerical order, such that, when divided by 8, the quotient is a 5-digit number consisting of the other five digits.

(In reply to re: This seems like one problem, not two (spoiler) by Charlie)

Right!  Sorry.  I have only solved the first part. 

Posted by Steve Herman on 2006-10-07 09:38:12