00:01
In this problem, we have been given a magic square which is shown over here, which means that all rows, columns, and diagonals sum to the same number.
00:08
We need to find the values of each of the given letters.
00:12
So first of all, consider the sum of the numbers on this diagonal.
00:16
That is 7 plus 15 plus 23, and that is equal to 45.
00:20
So that means that all of the rows, columns, and diagonals will sum to the same number 45.
00:26
So using this, we can find the values of the letters.
00:30
First of all, consider the sum of the numbers in the first row.
00:33
So that's 7 plus a plus 16, and that will be equal to this constant number, 45.
00:40
So that means that a is equal to 45 minus 7 minus 16, and that is equal to 22.
00:48
So the value of a is 22.
00:50
Next, to find the value of b, let us consider the sum of the numbers in the second row.
00:54
So we have 24 plus 15 plus b is equal to that constant number 45, which implies that b is equal to 45 minus 24 minus 15 and that is equal to 6.
01:09
So the value of b is 6...