Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns
. They also agreed to update their signs once per year at the beginning of the year. During year 11, Franklin's sign read : Population of 20,000", while Chester's sign read : Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by 5% each year, and Chester's population grew by 500 people each year. What is the first year in which Franklin's sign shows a larger number than Chester's sign?
