Question

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

• A. ${160}^{\circ }C$
• B. ${100}^{\circ }C$
• C. ${320}^{\circ }F$
• D. ${200}^{\circ }F$

Answer 1

Answer: (A), (C)

The correct options are
A ${160}^{\circ }C$
C ${320}^{\circ }F$

Let $F$ and $C$ be the temperature in Fahrenheit and Celcius respectively.
Let $C=x$ then, according to the question, $F=2x$
We know that $\frac{F-32}{9}=\frac{C}{5}$
$\Rightarrow \frac{2x-32}{9}=\frac{x}{5}$
or, $10x-160=9x$
$\Rightarrow x=160$
$\therefore$ The temperature is ${160}^{\circ }C$ or ${320}^{\circ }F$