Question

Q.3. In a "magic square", the sum of the
numbers in each row, in each
column and along the diagonal is
the same. Is this a magic square?
4 9 2
11 11 11
3 5 7
4 9 2 15
Along first row
11'11'111 11
+
1111|11
8
1
6
11 11 11​

Answer 1

Correct Question:-

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square?

Solution:-

(Along the first row 4/11 + 9/11 + 2/11 = 15/11)

Answer:

Sum of first row: 4/11 + 9/11 + 2/11 = 15/11 (Given)

Sum of second row: 3/11 + 5/11 + 7/11 = (3 + 5 + 7)/11 = 15/11

Sum of third row: 8/11 + 1/11 + 6/11 = (8 + 1 + 6)/11 = 15/11

Sum of first column: 4/11 + 3/11 + 8/11 = (4 + 3 + 8)/11 = 15/11

Sum of second column: 9/11 + 5/11 + 1/11 = (9 + 5 + 1)/11 = 15/11

Sum of third column: 2/11 + 7/11 + 6/11 = (2 + 7 + 6)/11 = 15/11

Sum of first diagonal (left to right): 4/11 + 5/11 + 6/11 = (4 + 5 + 6)/11 = 15/11

Sum of second diagonal (left to right): 2/11 + 5/11 + /11 = (2 + 5 + 8)/11 = 15/11

Since the sum of fractions in each row, in each column and along the diagonals is same, therefore it is a magic square.

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