If three-fifths of all the qualified electors in the merging district sign the petition to merge, no election on the question of the merger is necessary. In such case, the auditor shall return the petition, together with his or her certificate of sufficiency attached thereto, to the board of the merging district. Thereupon the boards of the respective districts shall adopt their concurrent resolutions of merger in the same manner and to the same effect as if the merger had been authorized by an election.