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Magic-in-more-than-one-way Square (Posted on 2004-06-24) Difficulty: 3 of 5
The following square is magic in more than one way -- can you see why?
 5	22	18	
28	15	 2	
12	 8	25

See The Solution Submitted by Federico Kereki    
Rating: 3.3333 (3 votes)

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Solution Puzzle Solution Comment 12 of 12 |
Spelling out each of the nine numbers from cell(1,1) to cell (3,3), we have:
  5 --> FIVE                              22--> TWENTY TWO              18--> EIGHTEEN
28 --> TWENTY EIGHT         15--> FIFTEEN                           2 --> TWO
12 --> TWELVE                        8 --> EIGHT                             25 --> TWENTY FIVE

Now, counting the # letters in each of the spelled out form of these numbers, we obtain:
    4     9      8
  11     7      3
   6      5    10  

whereby, we observe that:
     Total of each of the 3 rows
=    Total of each of the 3 columns
=    Total of each of the main diagonals
=    21

Consequently, the given 3x3 array is a magic square in more than one way.

Edited on July 15, 2022, 7:45 am
  Posted by K Sengupta on 2022-07-15 07:45:32

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