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Row total and column total puzzle

  1. Aug 13, 2009 #1
    Arrange the nine cells of a 3x3 square with digits from 1 to 9, with each digit occurring exactly once, such that:

    ## The respective totals of the first column, second column and the third column are 15, 19 and 11, and:

    ## The respective totals of the first row, second row and the third row are 23, 13 and 9.
     
  2. jcsd
  3. Aug 13, 2009 #2
    Code (Text):

    [color="lightblue"]6 9 8
    5 7 1
    4 3 2[/color]
     
     
  4. Aug 14, 2009 #3
    Found solution 1: a=6 b=9 c=8 d=4 e=7 f=2 g=5 h=3 i=1
    6 9 8
    4 7 2
    5 3 1


    Found solution 2: a=6 b=9 c=8 d=5 e=7 f=1 g=4 h=3 i=2
    6 9 8
    5 7 1
    4 3 2


    Found solution 3: a=8 b=9 c=6 d=2 e=7 f=4 g=5 h=3 i=1
    8 9 6
    2 7 4
    5 3 1


    Found solution 4: a=8 b=9 c=6 d=5 e=7 f=1 g=2 h=3 i=4
    8 9 6
    5 7 1
    2 3 4
     
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