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Byju's Answer
Standard VII
Mathematics
Line, Line Segment and Ray
Complete the ...
Question
Complete the magic square given below by filling in the missing numbers. (3 marks)
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Solution
In a magic square, the sum of numbers in a row, column, or diagonal will be the same, which is the magic sum.
Magic sum for the given sqaure = Sum of numbers on the diagonal = 16 + 13 + 10 = 39 (1 mark)
Missing number in Row 1 = 39 - (16 + 14) = 9
(0.5 mark)
Missing number in Row 2 = 39 - (11 + 13) = 15
(0.5 mark)
Missing number in Column 1 = 39 - (16 + 11) = 12
(0.5 mark)
Missg number in Column 2 = 39 - (13 + Missing number of Row 1) = 39 - (13 + 9) = 17 (0.5 mark)
Thus, the magic sqaure upon filling the missing numbers will look like as shown below.
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