1971 AHSME Problems/Problem 16
Problem
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
Solution
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
See Also
| 1971 AHSC (Problems • Answer Key • Resources) | ||
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Followed by Problem 17 | |
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