The following is an example of a magic square,
five of whose entries are missing. Determine the
missing entries so the sum of each row, column, and
diagonal is the same.
37 | 9 | |
21 | 13 |
Solution:
The answer is:
37 | 9 | 29 |
17 | 25 | 33 |
21 | 41 | 13 |
Let x, c, y, w, and m represent the numbers in the five missing cells as follows:
37 | 9 | x |
c | y | w |
21 | m | 13 |
21 + y + x = 37 + 9 + x
Therefore y = 25.
Find w in a similar manner:
13 + w + x = 37 + 9 + x
So w = 33.
Since y = 25, the magic sum is 75 (37 + 25 + 13)
Then x = 29, c = 17, and m = 41.
Correctly solved by:
1. Jia Ran | Rome, Italy |
2. Liz Cotter | Centreville, VA |
3.Michael Leatherman | Norfolk, VA |
4. Ginger Anderson | Winchester, VA |
5. Andrew Crosby | Winchester, VA |