Complete The Magic Square.Each Row,Column And Diagonal Must Have The Same Sum

Complete the magic square.each row,column and diagonal must have the same sum

 

Let every row represent the letters A, B and C

Let every column represent the numbers 1,2 and 3

It will represent the position of the numbers (e.g A1 = 5.3)

Looking at the table, we can say that a diagonal is complete where

5.3 + 4.1 + 2.9 = 12.3

therefore A1 + B2 + C3 = 12.3

Finding B1

We can say that

A1 + B2 + C3 = B1 + B2 + B3

12.3 = B1 + 4.1 + 4.9

12.3 = B1 + 9

12.3 - 9 = B1 + 9 - 9

B1 = 3.3

Finding C1

12.3 = A1 + B1 + C1

12.3 = 5.3 + 3.3 + C1

12.3 = 8.6 + C1

12.3 - 8.6 = 8.6 + C1 - 8.6

C1 = 3.7

Finding C2

12.3 = C1 + C2 + C3

12.3 = 3.7 + C2 + 2.9

12.3 = C2 + 6.6

12.3 - 6.6 = C2 + 6.6 - 6.6

C2 = 5.7

Finding A3

12.3 = A3 + B3 + C3

12.3 = A3 + 4.9 + 2.9

12.3 = A3 + 7.8

12.3 - 7.8 = A3 + 7.8 - 7.8

A3 = 4.5

Finding A2

12.3 = A1 + A2 + A3

12.3 = 5.3 + A2 + 4.5

12.3 = 9.8 + A2

12.3 - 9.8 = 9.8 + A2 - 9.8

A2 = 2.5

❤