Enigma 1526: Degrees of error
23 July 2012
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From New Scientist #2689, 3rd January 2009 [link]
Joe did not trust the accuracy of his two digital thermometers, but he knew he could be confident that their percentage errors were constant over the range he needed to use them.
He placed the sensors of both thermometers in a beaker of oil and noted the temperatures indicated as the oil slowly warmed up. When one indicated 76.3°C the other indicated 150.1°F, and when one indicated 98.1°C, the other indicated 184.3°F.
As the oil cooled down, one indicated temperature was 167.2°F and Joe found he was able to calculate the corresponding true temperature of the oil in degrees celsius.
What was the true temperature?