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Greek Approximation (Posted on 2009-09-05)

Substitute each capital letter in bold by a different base ten digit from 0 to 9, such that (TAU)^.BETA when rounded off to the nearest integer is equal to PI, and the absolute difference of (TAU)^.BETA and PI is the minimum. Each of A, P and T is nonzero.

Notes:

(i) PI does not represent the quantity π and, .BETA denotes a decimal fraction.

(ii) Relevant alphametic rules are applicable for this problem.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

TAU = 659, BETA = 4365 and, PI = 17

For an explanation, refer to the solution submitted by Daniel in this location.

An extension together with its solution has been submitted by Daniel in this location.

----------------------------------------------------

*** Based on Computer Bonus, New Winter Problems, by Don A. Dechman, Brain Ticklers, The BENT, Winter 2007.

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

Subject	Author	Date
further findings	Daniel	2009-09-05 16:17:30
computer solution	Daniel	2009-09-05 12:58:55

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