Fahrenheit and Celsius are the two scales used for measuring temperature. If the numerical value of a temperature recorded in both the scales is found to be same, then what is the temperature?

Step-by-step solution

Relation between Fahrenheit and Celsius scale is ° C - 0 ° 100 = F - 32 180 Given that numerical value of a temperature recorded in both the scales are same. ° C = F = x [say] ⇒ x 100 = x - 32 180 ⇒ 180 x = 100 x - 3200 ⇒ 80 x = - 3200 ⇒ x = - 3200 80 ⇒ x = - 40 °