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Question

complete the magic square given below, so that the sum of the numbers in each row or in each column or along each diagonal is 15.
6 1
5

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Solution

Taking the diagonal that starts with 6:
6+5+x=15 x=4
6 1
5
4

Now, taking the first row:
6+1+x=15 x=8
6 1 8
5
4

Taking the last column:
8+x+4=15 x=3
6 1 8
5 3
4

Taking the second column:
1+5+x=15 x=9
6 1 8
5 3
9 4

Taking the second row:
x+5+3=15 x=7
6 1 8
7 5 3
9 4

Taking the diagonal that begins with 8:
8+5+x=15 x=2
6 1 8
7 5 3
2 9 4

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