There is a four digit number such that when multiplied by a single digit produces another four digit number i.e. "ABCD"*E="FGHI " (the letters between the quotation signs designate a concatenation, not the product).

The letters represent 9 non-zero distinct digits.

Find the two existing solutions to this 9-digit problem.

1738*4=6952
1963*4=7852

Used Excel for brute force search.  I couldnt think of a function to find where every digit is different.  Instead I summed the digits and looked at the ones that summed to 45.

Posted by Jer on 2010-09-15 14:54:13