perplexus.info :: Numbers : Greek Approximation

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

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info