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Country Talk Discussion Board

Re: Re: please check your phone number :)


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Posted by deadcarp- how? on October 31, 2003 at 07:06:42 from (216.189.131.118):

In Reply to: Re: please check your phone number :) posted by toolman on October 30, 2003 at 16:01:46:

well i didn't dream this one up, but in truth it can be done in infinite different ways: here's the recipe --

Let N be your phone number.

It can be expressed as
N = A * 10000 + B
where A is the number composed of the first three digits, B is the number composed of the last four digits.

Key in the 1st 3 digits of your phone number in a calculator, multiply by 80 then plus 1.
A * 80 + 1

Multiply by 250
(A * 80 + 1) * 250

plus the last 4 digits of your number
((A * 80 + 1) * 250) + B

plus the last 4 digits again minus 250
((A * 80 + 1) * 250) + B + B - 250

Divide by 2.
(((A * 80 + 1) * 250) + B + B - 250) / 2

Expand using the usual rules of algebra:
((A * 80 * 250 + 1 * 250) + B + B - 250) / 2

((A * 80 * 250 + 1 * 250) + 2* B - 250) / 2

((A * 20000 + 250) + 2* B - 250) / 2

(A * 20000 + 250 + 2* B - 250) / 2

(A * 20000 + 2* B + 250 - 250) / 2

(A * 20000 + 2* B) / 2

(A * 10000 + 1* B)

A * 10000 + B = N the original number.

It's called algebraic identity :)



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