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Fill in the Squares II (Posted on 2005-05-17) Difficulty: 3 of 5
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.

See The Solution Submitted by Dustin    
Rating: 2.6250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution | Comment 19 of 22 |

here we go:

9   6   5

2   7   4

8   3   1

I think this is a unique sol'n, but i'll leave the proof for someone else.


  Posted by josh on 2005-06-28 23:58:37
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