1971 AHSME Problems/Problem 16
After finding the average of scores, a student carelessly included the average with the scores and found the average of these numbers. The ratio of the second average to the true average was
Assume the scores are the first natural numbers:
The average of the scores is
If we add to the first numbers, the new average is still.
The two averages are the same, therefore the answer is
-edited by coolmath34