7-35-2145. Vesting of powers and duties in new trustees. In case of the death, resignation, disability, or removal of any one or more of the trustees of such fund, all the rights, titles, powers, authorities, franchises, and trusts whatsoever existing in such trustee at the time of such death, resignation, disability, or removal shall at once, without further act or conveyance, vest in the survivor or survivors until the vacancy or vacancies so occasioned shall be filled, when the same shall in the same manner vest in the board as so reconstituted. All newly appointed trustees shall at once, upon qualification, succeed to an equal share in all the rights, titles, powers, authorities, franchises, and trusts belonging to such board; and the same shall always be vested in the members of such board as actually constituted.