Question

At what temperature, the Fahrenheit and Celsius scales will give numerically equal (but opposite in sign) values :

• A. – 40⁰F and 40⁰C
• B. 11.43⁰ F and – 11.43⁰C
• C. –11.43⁰F and + 11.43⁰C
• D.
  • 40⁰F and – 40⁰C

Answer 1

Answer: (B)

11.43⁰ F and – 11.43⁰C

Answer 2

C = $\frac{5}{9}$ (F – 32) Þ C = $\frac{5}{9}$ (–C – 32)

Þ C = – 5C – 160 Þ 14C = –160

Þ C = –11.43⁰C