Question

Find out the temperature in degree Celsius at which the Fahrenheit scale will give twice the reading to that of Celsius scale.

• A. ${180}^{\circ }C$
• B. ${160}^{\circ }C$
• C. ${200}^{\circ }C$
• D. ${130}^{\circ }C$

Answer 1

The correct option is B ${160}^{\circ }C$

Let $C$ be the temperature in Celsius scale and $F$ be the temperature in Fahrenheit scale.
According to the question, if $C=X$ then, $F=2X$
We know, $C=\frac{5}{9}(F-32)$
$\Rightarrow X=\frac{5}{9}(2X-32)$
$\Rightarrow 9X=10X-160$
$\Rightarrow 10X-9X=160$
$\Rightarrow X={160}^{\circ }C$
Therefore, the temperature in degree Celsius scale at which the Fahrenheit scale will give twice the reading to that of Celsius scale is ${160}^{\circ }C$