If x degrees Fahrenheit = nx degrees Celsius, where each of n and x is a nonzero integer, determine all values of n and x for which this is possible.

Keeping all the other conditions unaltered, how about:
x degrees Celsius = nx degrees Fahrenheit?

Note:
Fahrenheit to Celsius:
^oC= 5*(^oF - 32)/9

Celsius to Fahrenheit :
^oF= (°C*9/5) + 32

(In reply to re: Baby, it's warm outside (spoiler) by Ady TZIDON)

Oh, right you are, Ady.  I guess I was a little dyslexic.  I misread the problem to say that it the n and x had to be positive.  It turns out, all it said was that n and x had to be possible. 

Posted by Steve Herman on 2012-12-31 15:34:32