Question

find temperature which is same in both celcius and Fahrenheit scale of temperature word 50-75


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Answer 1

Answer:

However, there is one point on the Fahrenheit and Celsius scales where the temperatures in degrees are equal. This is -40 °C and -40 °F. If you can't remember the number, there is a simple algebraic method to find the answer.

Rather than converting one temperature to another (which is not helpful because it assumes you already know the answer), you can set degrees Celsius and degrees Fahrenheit equal to each other using the conversion formula between the two scales:

°F = (°C * 9/5) + 32

°C = (°F - 32) * 5/9

does not matter which equation you use; simply use x instead of degrees Celsius and Fahrenheit. You can solve this problem by solving for x:

°C = 5/9 * (°F - 32)

x = 5/9 * (x - 32)

x = (5/9)x - 17.778

1x - (5/9)x = -17.778

0.444x = -17.778

x = -40 degrees Celsius or Fahrenheit

Working using the other equation, you get the same answer:

°F = (°C * 9/5) + 32

°x - (°x * 9/5) = 32

-4/5 * °x = 32

°x = -32 * 5/4

x = -40°