(a) During the first week of the session after each election for Governor, Lieutenant Governor, Secretary of State, Treasurer of State, Auditor of State, and Attorney General, and in the presence of both houses of the General Assembly, the Speaker of the House of Representatives shall open and publish the votes cast and given for each of the respective officers previously mentioned.
(b) The person having the greatest number of legal votes for each of the respective offices shall be declared duly elected thereto, but if two (2) or more shall be equal and highest in votes for the same office, one (1) of them shall be chosen by a joint vote of both houses of the General Assembly, and a majority of all the members elected shall be necessary to a choice.
(c) The President of the Senate and the Speaker of the House of Representatives shall make and deposit in the office of the Secretary of State a certificate declaring what person has been elected to any office named.