Question

Temperature of a body on Fahrenheit scale is 4 times that on Celsius scale. The temperature on Celsius scale is

Answer 1

THE TEMPRATURE ON CELSIUS SCALE IS 42`C

Answer 2

The temperature on the Celsius scale is 14.54°C

Given: Temperature on Fahrenheit scale = 4 x Temperature on Celsius scale

To find: Temperature on Celsius scale

Solution:

Let temperature on Fahrenheit scale = f

Let temperature on Celsius scale = c

We know,

$\frac{(f - 32)5}{9}$ = c

9c = 5f - 160 [i]

Also, f = 4c (given) [ii]

Substituting ii in i,

9c = 5(4c) - 160

⇒ 11c = 160

⇒ c ≈ 14.54

∴ The temperature on the celsius scale is 14.54°C Answer

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