The temperature at which the readings of Celsius scale and Fahrenheit scale will be equal is ____degree

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Detailed Solution

Concept- That temperature would be -40 degrees. The value of temperature in Fahrenheit is equal to the product of the value of the same temperature in Celsius scale multiplied by

and then multiplied by 32. We may then translate the Celsius scale reading to the Fahrenheit scale. When they are equal, substitute the value of the Celsius scale equation in the Fahrenheit scale equation. All of these will undoubtedly aid you in answering this question.
First, consider how to convert a degree Celsius scale reading to a Fahrenheit scale reading. This may be stated mathematically as,

We can see that the value given in the Fahrenheit scale may be translated to the Celsius scale by rewriting the same equation in terms of degrees Celsius. This may be stated mathematically as,

In response to the question, it has been said that they are equal. As a result, we may write,

Rearranging the equation will give,

Thus we can simplify the equation as,

That is,

Hence, answer is -40 degree C.

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