At what temperature is celsius 20 degrees higher than Fahrenheit?

Answer 1

Ordinay conversion of 'F' to 'C':

C = 5/9 (F - 32)

But you said that the 'C' number is 20 more than the 'F' number, so

F + 20 = 5/9 (F - 32)

Multiply each side by 9/5:

9/5 (F + 20) = F - 32

(9/5)F + 36 = F - 32

Subtract F from each side:

(4/5)F + 36 = -32

Subtract 36 from each side:

(4/5)F = -68

Multiply each side by (5/4) = 1.25

F = (1.25) x (-68)

= -85.

The temperature is -85F or -65C. (They're the same temperature.)

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Check:

C = 5/9 (F - 32)

C = 5/9 (-85 - 32) = 5/9 (-117) = -65

-65 - 20 = -85

yay !