Problem:
On a particular January day, the high temperature in Lincoln, Nebraska, was 16 degrees higher than the low temperature, and the average of the high and low temperatures was . In degrees, what was the low temperature in Lincoln that day?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The difference between the high and low temperatures was 16 degrees, so the difference between each of these and the average temperature was 8 degrees. The low temperature was 8 degrees less than the average, so it was .
The problems on this page are the property of the MAA's American Mathematics Competitions