A faulty thermometer has its fixed points marked as 5^(@) and 95^(@). The temperature of a body as measoured by the faulty thermometer is 59^(@). Find the correct temperture of the body on Celsius scale.

A faulty thermometer has its fixed points marked as 5^(@) and 95^(@).

1.	A faulty thermometer has its fixed points marked as 5^(@) and 95^(@). The temperature of a body as measoured by the faulty thermometer is 59^(@). Find the correct temperture of the body on Celsius scale.
Answer» Solution :LET the reading on the FAULTY thermometer be x and the corresponding reading on Celsius SCALE be C. `(x -"L.F.P.")/("U.F.P. - L.F.P.") = (C - 0)/(100 - 0) "" (x - 5)/(95 - 5) = (C)/(100)` ` C = (100)/(90) (x -5 ) "" C = (10)/(9) (x - 5)` ` C = (10)/(9) (59-5) "" (because x = 59^(@)) C = 60^(@) C `