1984 AIME Problems/Problem 10
Problem
Mary told John her score on the American High School Mathematics Examination (AHSME), which was over 
. From this, John was able to determine the number of problems Mary solved correctly. If Mary's score had been any lower, but still over , John could not have determined this. What was Mary's score? (Recall that the AHSME consists of 
multiple choice problems and that one's score, 
, is computed by the formula 
, where 
is the number of correct answers and 
is the number of wrong answers. Students are not penalized for problems left unanswered.)
Solution
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