The steam point and the ice point of a mercury thermometer are marked as `80^@ and 10^@`. At what temperature on centigrade scale the reading of this thermometer will be `59^@` ?

Explanation

To solve the problem, we need to find the temperature on the centigrade scale when the reading of the mercury thermometer is 59°. We know the following:

- The steam point (100°C) corresponds to 80° on the thermometer.
- The ice point (0°C) corresponds to 10° on the thermometer.

We can use the linear relationship between the thermometer reading (Y) and the centigrade temperature (X) in the form of the equation:

\[ Y = aX + b \]
...