Question

The Fahrenheit and Kelvin scales of temperature will give the same reading at

• A. – 40
• B. 313
• C. 574.25
• D. 732.75

Answer 1

The correct option is C 574.25

Let F = K = X
As $\frac{F-32}{9}$ = $\frac{K-273}{5}$
$\therefore$ $\frac{x-32}{9}$ = $\frac{x-273}{5}$ =
9x - 2457 = 5x - 160
4x - 2457 + 160 =0
x = $\frac{2297}{4}$ = 574.25