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Question
Jay is completing the magic square below with numbers 1–9. Help him find the numbers in the places of X and Y such that the sum of the rows, columns, as well as the diagonals is the same.
Jay is completing the magic square below with numbers 1–9. Help him find the numbers in the places of X and Y such that the sum of the rows, columns, as well as the diagonals is the same.
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Solution
The correct option is D X = 2; Y = 4
The sum of the rows, columns, as well as the diagonals should be the same.
Sum of column 2 = 7 + 5 + 3 = 15
Sum of column 3 = 6 + 1 + 8 = 15
Similarly,
Sum of row 2 = 9 + 5 + 1 = 15
From above, we know that the sum of the rows, columns, and diagonals should be 15.
In row 1, we have:
7 + 6 = 13
Now, we must add 2 to 13 to make the sum 15.
So, the value of X is 2.
Similarly, in row 3, we have:
3 + 8 = 11
Now, we must add 4 to 11 to make the sum 15.
So, the value of Y is 4.
Now, the sum of the rows as well as the columns is 15.
Let's check if the values works diagonally also.
2 + 5 + 8 = 15
4 + 5 + 6 = 15
Thus, the value of X is 2 and that of Y is 4.
The sum of the rows, columns, as well as the diagonals should be the same.
Sum of column 2 = 7 + 5 + 3 = 15
Sum of column 3 = 6 + 1 + 8 = 15
Similarly,
Sum of row 2 = 9 + 5 + 1 = 15
From above, we know that the sum of the rows, columns, and diagonals should be 15.
In row 1, we have:
7 + 6 = 13
Now, we must add 2 to 13 to make the sum 15.
So, the value of X is 2.
Similarly, in row 3, we have:
3 + 8 = 11
Now, we must add 4 to 11 to make the sum 15.
So, the value of Y is 4.
Now, the sum of the rows as well as the columns is 15.Let's check if the values works diagonally also.
2 + 5 + 8 = 15
4 + 5 + 6 = 15
Thus, the value of X is 2 and that of Y is 4.
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