The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C =  \(\frac{5F-160}{9}\) What is the numerical value of temperature which is same in both the scale ? 

A) 30° 

B) -40° 

C) 40° 

D) -30°


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Correct option is (C) 40°

For same temperature in both scale, we have to put C = F in the formula \(C=\frac{5F-160}{9}.\)

\(\therefore\) \(C=\frac{5C-160}{9}\)

\(\Rightarrow\) 9C = 5C - 160

\(\Rightarrow\) 9C - 5C = -160

\(\Rightarrow\) 4C = -160

\(\Rightarrow\) C = \(\frac{-160}{4}\) = 40

Hence, \(40^\circ\) of temperature is same in both the scale.

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Correct option is  B) -40°

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