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

Options

A. `-42^(@)`
B. `-72^(@)`
C. `+12^(@)`
D. `-40^(@)`

Answer

C

Explanation

Let at temperature T both the scales A and B have the same reading.
`(T-42)/(110)=(T-72)/(220) or 2T-84=T-72`
or ` T=pm 12^(@)` .