MATHEMATICS · Multi-part · AoPS · Mathematics · One-Variable Linear Equations · One-Variable Linear Equations
Problem
A student’s present age is denoted by x years. His teacher’s present age is 5 times the student’s age increased by 10 years. After 5 years, the product of their ages will be 600.
(i) Form an equation in x representing the above situation.
(ii) Solve the equation to obtain the possible present ages of the student.
(iii) Choose the valid age and state the present ages of both the student and the teacher.