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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. - Mathematics

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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.
Answer in Brief
Fill in the Blanks

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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Chapter 7: Can You See the Pattern? - Can You See the Pattern? [Page 103]

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NCERT Math - Magic [English] Class 5
Chapter 7 Can You See the Pattern?
Can You See the Pattern? | Q 4.2 | Page 103
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