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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?
| `4/11` | `9/11` | `2/11` |
| `3/11` | `5/11` | `7/11` |
| `8/11` | `1/11` | `6/11` |
(Along the first row `4/11 +9/11 + 2/11 = 15/11`)
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Solution
Along the first row, sum = `4/11 + 9/11 + 2/11 = 15/11`
Along the second row, sum = `3/11 + 5/11 + 7/11 = 15/11`
Along the third row, sum = `8/11 + 1/11 + 6/11 = 15/11`
Along the first column, sum = `4/11 + 3/11 + 8/11 = 15/11`
Along the second column, sum = `9/11 + 5/11 + 1/11 = 15/11`
Along the third column, sum = `2/11 + 7/11 + 6/11 = 15/11`
Along the first diagonal, sum = `4/11 + 5/11 + 6/11 = 15/11`
Along the second diagonal, sum = `2/11 + 5/11 + 8/11 = 15/11`
Since the sum of the numbers in each row, in each column, and along the diagonals is the same, it is a magic square.
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