Data represented in grids, are represented in rows and columns.
The sum of numbers in the two diagonals is 20 more than the sum of data in row 3
The sum of numbers in the diagonal is:
[tex]Sum =25 + 8 + 34 + 37 + 8 + 66[/tex]
[tex]Sum =178[/tex]
Next, we add up the numbers in each row and column
[tex]R_1 = 25 + 13 + 37[/tex]
[tex]R_1 = 75[/tex]
[tex]R_2 = 42 + 8 + 9[/tex]
[tex]R_2 = 59[/tex]
[tex]R_3 = 66 + 58 + 34[/tex]
[tex]R_3 = 158[/tex]
[tex]C_1 = 25 + 42 + 66[/tex]
[tex]C_1 = 133[/tex]
[tex]C_2 = 13 + 8 + 58[/tex]
[tex]C_2 = 79[/tex]
[tex]C_3 = 37 + 9 + 34[/tex]
[tex]C_3 = 80[/tex]
Subtract the above sum of rows and column from the sum of the diagonal.
Starting from the largest sum, we have:
[tex]Sum - R_3[/tex]
This gives
[tex]Sum - R_3 =178 - 158[/tex]
[tex]Sum - R_3 =20[/tex]
Since the difference between the sum of the diagonals and the sum of row 3 is 20, then row 3 is the answer.
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