# 2021 JMPSC Accuracy Problems/Problem 10

## Contents

## Problem

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?

## Solution

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 .

~Bradygho

## Solution 2

We have the number of classes is , so , or . Plugging back the total number of students is , so the answer is ~Geometry285

## See also

The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.