Two temperature scales A and B are related by (A-42/110)=(B-72/220). At which temperature two scales have the same reading?

Question

Two temperature scales A and B are related by (A-42/110)=(B-72/220). At which temperature two scales have the same reading? (A) -42° (B) -72° (C) +12° (D) -40°

Tardigrade Admin · Accepted Answer

Let at temperature T both the scales A and B have the same reading. ∴ (T-42/110)=(T-72/220) or 2 T-84=T-72 or T=+12°

Q. Two temperature scales A and B are related by $\frac{A - 42}{110} = \frac{B - 72}{220}$ . At which temperature two scales have the same reading?

$- 4 2^{\circ}$

$- 7 2^{\circ}$

$+ 1 2^{\circ}$

$- 4 0^{\circ}$

Let at temperature $T$ both the scales $A$ and $B$ have the same reading.
$∴ \frac{T - 42}{110} = \frac{T - 72}{220}$ or
$2 T - 84 = T - 72$ or $T = + 1 2^{\circ}$

Q. Two temperature scales A and B are related by 110A−42​=220B−72​. At which temperature two scales have the same reading?

−42∘

−72∘

+12∘

−40∘

Let at temperature T both the scales A and B have the same reading. ∴110T−42​=220T−72​ or 2T−84=T−72 or T=+12∘