perplexus.info :: Numbers : Double the Magic

Double the Magic (Posted on 2009-10-16)

In the traditional 3 x 3 Magic Square the digital sum ("magic" constant) is 15. The square may be duplicated such that each cell has two identical digits forming a
T U combination (eg 11,22) with the common value being 165 .

The digits 1 to 9 may be placed in each cell so that each Tens digit and each Units digit is represented once in the 3 x 3 grid with no digit reappearing in the same column or row; the column and row totals are to have the same value.

While I can offer a solution with all sums but one major diagonal having the same "magic" constant, can you do similar, or even better, offer 8 equal digital sums?

Submitted by brianjn

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Solution: (Hide)

82 14 69 165 36 58 71 165 47 93 25 165 174 165 165 165 165
Charlie posted a list of possible scenarios.

Of those I edited values compliant with my criteria which follow:

165 162 165
165 168 165
165 165 246
165 165 174 *
165 165 255
165 192 165
165 195 165

My offered solution is at #4 which clearly is not as good as the top of the list that one being:
21 98 46 165 79 54 32 165 65 13 87 165 165 165 165 165 162

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: computer solution - missed me, no!	brianjn	2009-10-17 02:06:17
computer solution	Charlie	2009-10-16 18:59:07

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