Place the numbers 1 through 9 in the grid below:

   1 2 3  
A |_|_|_|  
B |_|_|_|  
C |_|_|_|  
 

1. The product of the numbers in row C is twice the sum of the numbers in row C.
2. The product of the numbers in column 3 is twice the sum of the numbers in column 3.
3. If you ignore column 1, all the columns have even products.
4. If you take the six-digit number C3 B3 B1 C1 A3 B2 and multiply it by 3, you get the six-digit number B3 B1 C1 A3 B2 C3.

Try to figure it out without using a computer program.

(In reply to re: x/7ths by pcbouhid)

Thanks,

I probably had that originally as I solved it last week or so and then posted it a week or so later.  Then, I actually had it on paper and verified the solution against all of the clues, and it worked. I may have missed that clue but I do not believe so. 

Posted by john on 2005-06-09 19:18:17