Question

Complete the magic square of order 5 × 5 using the numbers 1, 2, 3, … . , 25 (only once) so that sum along each row, column and diagonal is 65​

Answer 1

Answer:

Step-by-step explanation:

Magic Square of size 3

-----------------------

 2   7   6

 9   5   1

 4   3   8

Sum in each row & each column = 3*(32+1)/2 = 15

Magic Square of size 5

----------------------

 9   3  22  16  15

 2  21  20  14   8

25  19  13   7   1

18  12   6   5  24

11  10   4  23  17

Sum in each row & each column = 5*(52+1)/2 = 65

Magic Square of size 7

----------------------

20  12   4  45  37  29  28

11   3  44  36  35  27  19

 2  43  42  34  26  18  10

49  41  33  25  17   9   1

40  32  24  16   8   7  48

31  23  15  14   6  47  39

22  21  13   5  46  38  30

Sum in each row & each column = 7*(72+1)/2 = 175

Answer 2

Answer:

65 is the magic sum

Step-by-step explanation:

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