Arrange these numbers so that we get sum 15 by adding numbers from any direction(row, column, diagonal)
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_
_1_|_5_|_7_
_3_|_8_|_9_
in number’s ko is tarha arrange karein ke jis taraf se bhi add karein ’15’ answer aaye.
1 5 9
1 6 8
2 4 9
2 5 8
2 6 7
3 4 8
3 5 7
4 5 6
Now in order to make diagonal, rows and columns sum to 15, middle element should be present in atleast 4 sequences.
There is only one numbers which is present in four sequences i.e. 5, so 5 will be the middle element.
Now corner number can be the number which is present in atleast three sequences, numbers present atleast in 3 sequences are 2, 4, 6, 8.
Numbers which are present only in two sequences can not be in corners and middle of the matrix, such numbers are 1, 3, 7, 9.
By using above logic, we can create a matrix easily.
_8_|_3_|_4_
_1_|_5_|_9_
_6_|_7_|_2_
Obviously there will be multiple possible answers by rotating the matrix.
Jan says
816 492 294 618 276 672 834 438
357 357 753 753 951 159 159 951
492 816 618 294 438 834 672 276
poonam says
6 7 2
1 5 9
8 3 4
Kashish Lakhani Gunja says
8 1 6
3 5 7
4 9 2