Method for determining the numbers of a ratio II
Name: claudio oton
I'd like to know a way to solve this apparently easy problem.
If two numbers of two digits are divided and the result is
0.4482759... which are these numbers?
I know they could be 13 & 29 or 26 & 58, etc, but I need
a way to solve this kind of problem.
Two digit numbers can be written in this form: 10*a+b, where
a and b are integers in [0;9]. Your problem then can be written
as: (10*a+b)/(10*x+y)=r - a, b, x, and y are digits and r is r
real. This is a problem in the area of algebra called 'ring theory'.
I'm not sure this problem has been solved in general. But in the
practical case it's not so bad: the two numbers on the left side
are integers, so r must be rational, and you'll have at most 10000
combinations to choose from. Do it on a computer :-)
jan p anderson
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Update: June 2012