(b) The appointed members shall be appointed as follows: One member shall be appointed by the comptroller of such county, who may be the comptroller or some person chosen by the comptroller from among employees of the county, who are versed in the affairs of the comptroller's office; and one member shall be appointed by the treasurer of such county, who may be the treasurer or some person chosen by the treasurer from among employees of the County who are versed in the affairs of the treasurer's office. The member appointed by the comptroller shall hold office for a term ending on December 1st of the first year following the year of appointment. The member appointed by the county treasurer shall hold office for a term ending on December 1st of the second year following the year of appointment.
Thereafter, each appointed member shall be appointed by the officer that appointed the predecessor for a term of 2 years.