To complete the square with suitable numbers so that their sum vertically, horizontally, and diagonally comes to 39, we can start by assigning variables to three unknown numbers:
Let the first number be x.
Let the second number be y.
Let the third number be z.
Vertically, the sum is:
x + y + z = 39
Horizontally, the sum is also:
x + y + z = 39
Diagonally, the sum is:
x + y + z = 39
Since the diagonals also add up to 39, we can see that every row and column contains the same sum.
To find suitable numbers to complete the square, we need to find three integers that add up to 39. One way to do this is by trial and error. Let's try some possibilities:
If we choose 10 + 14 + 15, it adds up to 39.
So, the suitable numbers to complete the square are:
10, 14, and 15.
If we place them in a square grid, it will look like:
10 14 15
14 10
15 10 14
Vertically, horizontally, and diagonally, the sum will be 39.
Therefore, by choosing 10, 14, and 15, we can complete the square with suitable numbers so that their sum vertically, horizontally, and diagonally comes to 39.
Complete the square with suitable number so that their sum vertically horizontal diagonally come to 39
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