Solution: 34 is the key to the magic square

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Solution: 34 is the key to the magic square

Jim Howson

View the question >>

Since the square is known to be magic, we can assume from basic "magic theory" that the missing numbers are those absent at the moment from the series 1 to 16. The main insight then required is to spot that the third column from the left must contain both 2 and 3, in order to achieve the 34 constant (because 1 and 4 are already positioned).

Next, examination of the possibilities for the 15, ?, ?, 12 diagonal reveals that the 2 will need to be next to the 12, thus making the complete diagonal 15, 5, 2, 12. The rest is easy.

Ivor Smith will receive £20 for this neat little contribution.

Here is the completed array:

 

 1 13   12

 14

 11

 2

 7

 4

 5

 16

 9

 15

 10

 3

 6

 

 

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