The diagram shows a magic square in which the sums of the numbers in any row, column or diagonal are equal. What is the value of $n$ ?
(A) 3
(B) 6
(C) 7
(D) 10
(E) 11

| 8 |  |  |
| :--- | :--- | :--- |
| 9 |  | 5 |
| 4 | $n$ |  |
The diagram shows a magic square in which the sums of the numbers in any row, column or diagonal are equal. What is the value of $n$ ?
(A) 3
(B) 6
(C) 7
(D) 10
(E) 11

| 8 |  |  |
| :--- | :--- | :--- |
| 9 |  | 5 |
| 4 | $n$ |  |

## Solution

The 'magic' sum is $8+9+4=21$, so the centre square is 7 .

If the centre square is 7 , then the square on the lower right has 6 in it giving $4+n+6=21$.

Therefore $n=11$.

ANSWER: (E)