Two temperature scales A and B are related by $$A-42100=B$$ $$-72220$$. At which temperature, two scales have the same readings? [WB JEE $$2011$$]

Question

Two temperature scales A and B are related by $$A-42100=B$$ $$-72220$$.  At which temperature, two scales have the same readings?  [WB JEE $$2011$$]

Infinity Learn · Accepted Answer

The relation between the temperature scales A and B is given as $$A-42100=B$$ $$-72220$$, so for the two scales to have the same reading, A $$=$$ B⇒                    $$A-42100=A$$ $$-72220$$⇒                    $$A-421=A$$ $$-722$$⇒                    $$2A-84=A-72$$⇒                      $$2A-A=84-72$$⇒                              $$A=12$$∘

Two temperature scales A and B are related by $\frac{A - 42}{100} = \frac{B - 72}{220}$ . At which temperature, two scales have the same readings? [WB JEE 2011]

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Two temperature scales A and B are related by A-42100=B -72220. At which temperature, two scales have the same readings? [WB JEE 2011]

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Two temperature scales A and B are related by $\frac{A - 42}{100} = \frac{B - 72}{220}$ . At which temperature, two scales have the same readings? [WB JEE 2011]