The temperature at which centigrade and Fahrenheit scales give the same reading, is

Question

The temperature at which centigrade and Fahrenheit scales give the same reading, is (A) -40° (B) 40° (C) -30° (D) 30°

Tardigrade Admin · Accepted Answer

Using relation, (F-32/180)=(C/100) If F=C=x, then substituting value in Eq. (i), we get ⇒ (x-32/180)=(x/100) ⇒ (x/5)=(x-32/9) ⇒ 9 x=5 x-160 ⇒ 160=-4 x ∴ x=-40° This is the required temperature at which centigrade and Fahrenheit scale give same reading.

Q. The temperature at which centigrade and Fahrenheit scales give the same reading, is

$- 4 0^{\circ}$

$4 0^{\circ}$

$- 3 0^{\circ}$

$3 0^{\circ}$

Q. The temperature at which centigrade and Fahrenheit scales give the same reading, is

−40∘

40∘

−30∘

30∘

Using relation, 180F−32​=100C​ If F=C=x, then substituting value in Eq. (i), we get ⇒180x−32​=100x​ ⇒5x​=9x−32​ ⇒9x=5x−160 ⇒160=−4x ∴x=−40∘ This is the required temperature at which centigrade and Fahrenheit scale give same reading.

$- 4 0^{\circ}$

$4 0^{\circ}$

$- 3 0^{\circ}$

$3 0^{\circ}$