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) -420 (B) -720 (C) +120 (D) -400

Tardigrade Admin · Accepted Answer

We are given the relation between the temperature scales A and B as (A-42/110)=(B-72/220), so for the two scales to have the same reading A=B and so (A-42/110)=(A-72/220), which yields A=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 ?

$- 4 2^{0}$

$- 7 2^{0}$

$+ 1 2^{0}$

$- 4 0^{0}$

We are given the relation between the temperature scales $A$ and $B$ as $\frac{A - 42}{110} = \frac{B - 72}{220}$ , so for the two scales to have the same reading $A = B$ and so $\frac{A - 42}{110} = \frac{A - 72}{220}$ , which yields $A = 12$ .

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

−420

−720

+120

−400

We are given the relation between the temperature scales A and B as 110A−42​=220B−72​, so for the two scales to have the same reading A=B and so 110A−42​=220A−72​, which yields A=12.