Problem 1. The sum of two numbers is equal to 960, and their quotient is equal to 5. What are those numbers?
Solution. Let's denote the smaller of the two numbers by $x$. Since the quotient of the numbers is 5, we conclude that the larger number is $5x$. Now, from the condition of the problem, it follows that $x+5x=960$. According to this, $6x=960$, i.e., $x=960:6=160$, so $5x=5 \cdot 160=800$. Finally, the required numbers are 160 and 800.