# The Heat is On

Algebra Level 3

Satvik and Agnishom are scientists collaborating on a thermodynamic experiment. Both use their own scales to measure temperature.

On Satvik's scale, freezing point of water is $$-30$$ degrees $$S$$ and the boiling point of water is $$90$$ degrees $$S$$.

On Agnishom's scale the corresponding readings are $$20$$ and $$100$$ degrees $$A$$ respectively.

At what temperature will both these scales show the same reading in $$S$$ and $$A$$ degrees?

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