EE-MO 2007 Problem 3
The headteacher wants to hire a certain number of new teachers in addition to existing teachers. If he hired an additional teachers, the number of school students would be reduced number per teacher by . However, if the headmaster hired new teachers, the number of students per teacher would be reduced by . How many students and how many there are teachers in this school?
Dataset text AI-MO AoPS. Quoted with source.
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