Replace the letters in the diagram with a different number from 0 to 9, such that the sum of the four numbers on all edges are the same, and the sum of the three numbers on all three corners are the same.

          A
        B   C
      D   E   F
    G   H   I   J

In other words, A+C+F+J = A+B+D+G = G+H+I+J and
A+B+C = D+G+H = F+I+J.

If we include rotations and reflections, there are twelve solutions. The two basic solutions are:

    1          Each corner sums to 13.      
   5 7         Each edge sums to 19.  
  4 6 3        Center number is 6.
 9 0 2 8      

    1          Each corner sums to 14.
   6 7         Each edge sums to 17. 
  2 3 9        Center number is 3.
 8 4 5 0


The twelve solutions:

ABCDEFGHIJ  ABCDEFGHIJ
0594378261  1574639028
0957341628  1753648209
1672398450  8230679451
1769320548  8327601549
8246351790  9042658371
8425360971  9405621738

Posted by Dej Mar on 2008-03-21 15:59:15