A positive number, when increased by 17, equals 60 times its reciprocal. What is the number?

Explanation

1. 01

   $x + 17 = \frac{60}{x}$, so $x^2 + 17x - 60 = 0$.

2. 02

   $(x + 20)(x - 3) = 0$, so $x = 3$ or $x = -20$.

3. 03

   The number is positive: $x = 3$. Check: $3 + 17 = 20 = 60 \div 3$.