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Question
Do you remember magic triangles? Come now, let s make some magic squares.
- Fill this square using all the numbers from 21 to 29.
Rule: The total of each side is 75.
Solution
Given that total of each side is 75
We can use numbers from 21 to 29.
- In the first row:
The required number
= 75 – (26 + 22)
=75 – 48 = 27 - In the first column:
The required number
= 75 – (26 + 28)
= 75 – 54 = 21 - In the second row:
The required number
= 75 – (21 + 25)
= 75 = 75 – 46 = 29 - In the third row:
The required number
= 75 – (28 + 24)
= 75 – 52 = 23 - Number in first box = 28
Number in second box = 23
So, number in third box
= 75 – (28 + 23)
= 75 – 51= 24
Hence, the complete magic square is as follows:
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