Question

At what temperature is the Fahrenheit scale reading equal to twice of Celsius ?

• A. ${40}^{0}C$
• B. ${160}^{0}C$
• C. ${80}^{0}C$
• D. ${100}^{0}C$

Answer 1

The correct option is B ${160}^{0}C$

We know the relation between Fahrenheit scale and degree celsius,

$\frac{C-0}{100}=\frac{F-32}{180}$

Given,

$F=2C$

Then,

$\frac{C}{100}=\frac{2C-32}{180}$

$\frac{C}{100}=\frac{C-16}{90}$

$⟹9C=10C-160$

$⟹C={160}^{0}C$