Question

The difference in the readings of a Fahrenheit & Celcius thermometer is 48°. What are the actual readings shown in the thermometer.please answer with step by step explanation

Answer 1

Answer:

Let the reading in the Fahrenheit scale be F

and the reading in the Celsius scale be C

F-C=48

or, F= C+48

We know by formula,

C/5= F-32/9

or, C/5= C+48-32/9

or, C/5= C+16/9

or, 9C =5(C+16)

or, 9C= 5C+80

or, 9C-5C=80

or, 4C= 80

C= 80/4

∴ C= 20

∴ F=C+48

=20+48

= 68

∴ The reading in the Fahrenheit scale is 68 degree Fahrenheit and the reading in the Celsius is 20 degree Celsius

Ans) The reading in the Fahrenheit scale is 68 degree Fahrenheit and the reading in the Celsius is 20 degree Celsius.

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