Question

Calculate the temperature which has same numeral value on Celsius and Fahrenheit scale.

Answer 1

Let temperature $T$ has same value for Celsius and Fahrenheit scale.

Using the conversion of the temperature,

$\frac{C-0}{100}=\frac{F-32}{212-32}$
$\frac{T-0}{100}=\frac{T-32}{180}$
$T=-{40}^{\circ }F\text{or}-{40}^{\circ }C$

Final Answer: $-{40}^{\circ }F\text{or}-{40}^{\circ }C$.