Question

is there a temperature which is numerically the same in both Fahrenheit and celsius?if yes find it.
plz answer fast I will mark as the brainliest

Answer 1

Heya !!

$\text{Let that temperature be x{\°} .}\\\\\text{Now, Since, (\°F - 32) \times \dfrac{5}{9} = \°C }\\\\\text{And, \°C = \°F = x }.\\\\\therefore \: , \: (x-32) \times \dfrac{5}{9} = x \\\\\implies x-32 = \dfrac{9}{5} x \\\\\implies 5(x-32) = 9x \\\\\implies 5x - 160 = 9x \\\\\implies 9x - 5x = -160 \\ \\\implies 4x = -160 \\\\\implies x = -\dfrac{160}{4} \\\\\implies x = -40$

$\textbf{Thus, a temperature which is numerically the same in both Fahrenheit}\\ \center{\textbf{and celsius is \boxed{ -40{\° } } }$

Hope it helps !!

Answer 2

Answer:

-40

Step-by-step explanation:

We know that,

C/5 = F-32/9

as the temperature of both scale are same i.e C= F

C/5 = C - 32/9

or, 9C = 5C - 160

or, 4C = -160

or, C = -160/4 = -40