The Heat is On

Algebra Level 2

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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