| 59
+---+---+---+---
| | | | 94
+---+---+---+---
| | | | 81
+---+---+---+---
| | | |110
+---+---+---+---
|194| 41| 50|107
The numbers are the totals of the rows, columns and diagonals
of a 'magic square'.
Describe the common sequence which they hide.
(In reply to
re: uniqueness of the numbers by Jyqm)
Using any integer solution as a "base", one easy way to generate more integer solutions is the following:
A B C
D E F
G H J
Subtract 2 from B
Add 2 to H
Add 1 to both A and C
Subtract 1 from both G and J
So for example, using your solution and following the above steps once through you get the following integer solution which also works:
81 9 4
59 1 21
54 31 25
Once I saw that, it became obvious what the "common sequence" must be, and a little more tweaking gives the intended solution:
81 4 9
64 1 16
49 36 25
Edited on November 16, 2006, 5:41 pm
|
|
Posted by tomarken
on 2006-11-16 15:51:54 |
Solution
