Question

Identify the temperature at which Celsius and Fahrenheit scales have same value.

• A. 40
• B. 0.0
• C. -40
• D. -20

Answer 1

The correct option is C -40

The formula to convert degree fahrenheit to degree celsius is:
$F$ = $C\times \frac{9}{5}+32$
We need to find the value when both are equal, we will put $F$ = $C$ into above formula.
$⟹$ $C$ = $C\times \frac{9}{5}+32$
$⟹$ $C$ = $\frac{C\times 9+160}{5}$
$⟹$ $5C$ = $9C+160$
$⟹$ $-160=4C$
$⟹$ $-40=C$