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.

One of the valid solutions is :

      9         
    4 0       
   5 6 2     
 1 7 3 8

 

Edited on March 21, 2008, 12:36 pm

Posted by K Sengupta on 2007-06-20 09:49:22