# Row total and column total puzzle

1. Aug 13, 2009

### K Sengupta

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. Aug 13, 2009

### ƒ(x)

Code (Text):

[color="lightblue"]6 9 8
5 7 1
4 3 2[/color]

3. Aug 14, 2009

### Edgardo

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