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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? - Mathematics

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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`)

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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Chapter 2: Fractions and Decimals - Exercise 2.1 [Page 31]

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NCERT Mathematics [English] Class 7
Chapter 2 Fractions and Decimals
Exercise 2.1 | Q 3 | Page 31
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