Tuesday 17 June 2014

Rectangular Magic grid

This is similar to a magic square.I am presenting a rectangular grid with 2 rows and 3 columns.
Each row contains 3 numbers and the sum of the numbers in each row is the same
Each column contains 2 numbers and the sum of the numbers in each column is the same
No number gets repeated anywhere.
Following are 2 examples-
1)First row-..........1      8      9
   Second row......11     4      3..   Each row totals 18 and each column totals 12
2)First row......................................1      10     7
    Second row................................11      2     5.....similar to 1) above

I am also giving 2 examples of rectangular grids with 4 numbers in each row and 3 numbers in each column
1)........1      4     15    12
           5      11    6      10
          18      9     3       2....     each row total 32 each column total 24
2)                                       1       4       11     16
                                          9.      7        10     6
                                         14      13       3      2     similar to previous example
You can make such rectangular grids easily with large numbers but it is difficult if you use small numbers
You can also have more numbers each row and more numbers each column

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