SECTION 13. WHEN DUTIES BEGIN; TERMS OF OFFICE; TIE VOTES.
   The first officers elected under the provisions of this Charter shall enter upon the official duties on the first day of July, one thousand nine hundred twenty-one, and shall serve for a term of two (2) years and until their successors are elected and qualified, unless sooner disqualified, impeached or dismissed.
   Whenever two or more persons receive the same number of votes for Mayor, Treasurer, or Councilman, such ties shall be decided by the Council in existence at the time the election shall be held; provided, that the Council in office at the time of the holding of such election shall remain in office for the purpose of passing upon and deciding such tie, and for such purpose only; and nothing herein contained shall be so construed as to interfere with the duties, power and authority of the new or incoming Council.