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Question

At what temperature, the Celsius and Fahrenheit scales will read the same ?
  1. 10oC
  2. 10oC
  3. 40oC
  4. 40oC

A
10oC
B
40oC
C
10oC
D
40oC
Solution
Verified by Toppr

The formulas for converting between degree Celsius and degree Fahrenheit are:
°F=(°C9/5)+32
°C=(°F32)5/9
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.
°C=(°C9/5)+32
°C(°C9/5)=32
4/5°C=32
°C=325/4
°C=40
°F=(°F9/5)+32
°F(°F9/5)=32
4/5°F=32
°F=325/4
°F=40
So the temperature when both the Celsius and Fahrenheit scales are the same is 40degrees.

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