The returns of every election for United States senator and member of Congress, district and state officers, and for and against any questions submitted to the electors of the State of Nevada, voted for at the general election, shall be sealed up and transmitted to the seat of government, directed to the secretary of state, and the chief justice of the supreme court, and the associate justices, or a majority thereof, shall meet at the office of the secretary of state, on a day to be fixed by law, and open and canvass the election returns for United States senator and member of Congress, district and state officers, and for and against any questions submitted to the electors of the State of Nevada, and forthwith declare the result and publish the names of the persons elected and the results of the vote cast upon any question submitted to the electors of the State of Nevada. The persons having the highest number of votes for the respective offices shall be declared elected, but in case any two or more have an equal and the highest number of votes for the same office, the legislature shall, by joint vote of both houses, elect one of said persons to fill said office.