perplexus.info :: Numbers : DO MAGIC

DO MAGIC (Posted on 2012-03-27)

There is a 3x3 magic square (each row, each column and each main diagonal add to the same value), presented in a number base higher than ten but no higher than 36, so that A is a digit representing ten, B representing eleven, etc.

In this magic square, one of the cells contains what looks like the word DO (that's a letter O), which, by the rules, represents thirteen times whatever the base is, plus twenty-four.

Not only does the word DO appear as one of the numbers in the grid, but also the number representations in the bottom row, if concatenated together, form the word MAGIC.

What is this magic square?

Click here to see the original New Scientist Enigma No. 1680 version of this puzzle.

Submitted by Charlie

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Solution: (Hide)

The base, represented in decimal, is 34, and DO represents what in decimal is 466. The magic constant is 1398 in decimal, which, interestingly is 174 when represented in base-34, while 174 happens to be the decimal representation of the top-right number within the grid.
The decimal version of this magic square is:

308 916 174 332 466 600 758 16 624

while the base-34 version is:

92 QW 54 9Q DO HM MA G IC

From Enigma No. 1680, "Do magic", by Susan Denham, New Scientist, 14 January 2012, page 28.

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

Subject	Author	Date
No Subject	jendy henna	2023-02-16 22:50:54
Solution	Dej Mar	2012-03-27 15:00:14
Got it.	Jer	2012-03-27 11:57:46

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