Mathematics
Mathematics
Problem
The sum of the present ages of a father and his son is 50 years. Five years ago, the product of their ages was 300. What is the son’s present age? a) b) c) d)Intuitive explanation
This is an age problem that hinges on setting up equations from two different time snapshots. The key insight is to use the present-day sum as one equation, then translate "five years ago" into a second equation using the product condition. You'll get a quadratic equation—solve it to find which root makes physical sense (the son must be younger than the father).
Intuitive explanation
This is an age problem that hinges on setting up equations from two different time snapshots. The key insight is to use the present-day sum as one equation, then translate "five years ago" into a second equation using the product condition. You'll get a quadratic equation—solve it to find which root makes physical sense (the son must be younger than the father).