Said retirement system shall be administered by a board to be known as "the Tennessee state retirement board." Said board shall consist of the state treasurer and the budget director, who shall be ex officio members; some person, not a state employee, to be appointed by the governor to serve a two (2) year term beginning on the first day of July of each odd year; and two (2) state employees, not from the same department, commission, board, agency or institution, to be elected for two (2) year terms by a majority of the members voting in elections to be held by said board, such terms beginning on the first day of July of each even year.
T.C.A. § 8-3403