Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Row total and column total puzzle
  1. Total distance (Replies: 16)

  2. Totally fried (Replies: 6)

  3. Fees that are total BS (Replies: 15)

Loading...