2021 JMPSC Accuracy Problems/Problem 10
In a certain school, each class has an equal number of students. If the number of classes was to increase by , then each class would have students. If the number of classes was to decrease by , then each class would have students. How many students are in each class?
Let the number of total students by , and number of classes by . Thus, our problem implies that
We solve this system of linear equations to get and . Thus, our answer is .
We have the number of classes is , so , or . Plugging back the total number of students is , so the answer is ~Geometry285
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