Saturday 4 February 2012

Magic squares-strange property

In a magic square formed with the digits 1 to9,I had shown in an earlier blog that the squares of the numbers formed with digits read from left to right will add up to the same total even when the numbers are formed with the digits read from right to left-as shown below-
Sq 492+Sq 357+Sq 816=1035369=Sq 294+Sq 753+Sq 618
Also considering the columns
Sq 438+Sq 951+Sq.276=1172421=Sq 834+Sq 159+Sq 672
Can you expect whether a similar property can be found  from the squares formed with numbers having more than one digit  as per example below?
Rows---9,14,7......8,10,12....13,6,11
Columns....9,8,13...14,10,6...7,12,11...totals 42 for each row,each column and both diagonals
The property can  be  found to be fulfilled in such cases also
Readers can try and find how the property is fulfilled.

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