You annually invest $$2,000$ in an individual retirement account $($IRA$)$ starting at the age of $20$ and make the contributions for $10$ years. Your twin sister does the same starting at age $30$ and makes the contributions for $30$ years. Both of you earn $8$ percent annually on your investment. What amounts will you and your sister have at age $60?$ Round your answers to the nearest dollar.

Amount on your account: $ $\_\_\_\_\_\_\_\_\_\_\_\_$

Amount on your sister's account: $ $\_\_\_\_\_\_\_\_\_\_\_\_\_$

Who has the larger amount at age $60?\_\_\_\_\_\_\_\_\_\_\_\_$