(a) No other conditions of eligibility are required for the office of county treasurer than those which apply to all other county officers, provided that no other county officer can also be county treasurer.

(b) County treasurers shall be elected and commissioned in the same manner and at the same time as clerks of the superior courts and shall hold their offices for terms of four years. The General Assembly, by local law, may abolish the office of county treasurer in any county and may fix the compensation of the county treasurer.