Temprature which is same in C and F....
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Heya !!
[tex]\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 \\\\ [/tex]
[tex]\textbf{Thus, a temperature which is numerically the same in both Fahrenheit}\\ \center{\textbf{and celsius is \boxed{ -40{\° } } } [/tex]
Hope it helps !!
tejasgupta:
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The temperature which is same in °C and °F is -40°.
For explaination, See the Attachment.
The formula used is -
T(°F) = 9/5(°C) + 32
Attachments:


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