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 "\text{Franklin: Population of } 20{,}000Franklin: Population of 20,000", while Chester's sign read "\text{Chester: Population of } 25{,}000Chester: Population of 25,000". Each year, the populations grew. Specifically, Franklin's population grew by 5\%5% each year, and Chester's population grew by 500500 people each year. What is the first year in which Franklin's sign shows a larger number than Chester's sign?