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jmc

prealgebra intermediate

Problem

On a particular January day, the high temperature in Lincoln, Nebraska, was degrees higher than the low temperature, and the average of the high and the low temperatures was . In degrees, what was the low temperature in Lincoln that day?
Solution
Since the high temperature is degrees higher than the low temperature, it follows that the average of the two temperatures, which lies halfway between the high and low temperatures, must be degrees higher than the low temperature and degrees lower than the high temperature. Thus, if the average is then the low temperature is
Final answer
-5^\circ