Problem:
Tony works hours a day and is paid per hour for each full year of his age. During a six month period Tony worked days and earned . How old was Tony at the end of the six month period?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Tony worked for hours. His average earnings per hour during this period is . Hence his average age during this period was , and so at the end of the six month period he was .
The problems on this page are the property of the MAA's American Mathematics Competitions