Question

is there temperature which is numerically the same in both Fahrenheit and Celsius ?if yes, find it.

Answer 1

Is there temperature which is numerically the same in both Fahrenheit and Celsius ?if yes, find it.

$\huge{\underline{\tt{\green{Solution-}}}}$

$\huge{\underline{\tt{\blue{F=(\dfrac{9}{5})C+32}}}}$

$\longrightarrow \sf{x = \dfrac{9x}{5}+32}$

$\longrightarrow \sf{x = \dfrac{9x+160}{5}}$

$\longrightarrow \sf{5x=9x+160}$

$\longrightarrow \sf{5x-9x = 160}$

$\longrightarrow \sf{-4x = 160}$

$\longrightarrow \sf{x\dfrac{-160}{4}}$

$\longrightarrow \sf\blue{x = -40°}$

-40° is in both Celsius and Fahrenheit.