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Question
What must be the temperature in Fahrenheit so that it will be twice its value in Celsius?
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Solution
Let the temperature in Celsius be T.
So, the temperature in Fahrenheit = 2T
Now,
F = 32 + `9/5` C ...(formula)
⇒ 2T = 32 + `9/5` T
Multiply both sides by 5,
10T = 160 + 9T
10T − 9T = 160
T = 160°
Temperature in Fahrenheit = 2T
= 2 × 160
= 320°
∴ The temperature in Fahrenheit that is twice its value in Celsius is 320°.
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