Decisions. In exercising the preceding powers, the Board may, in conformity with the provisions of this chapter, reverse or affirm, wholly or in part, or may modify the order, requirement, decision or determination appealed from and make such order, requirement, decision or determination as ought to be made, and to that end shall have all the powers of the officer from whom the appeal is taken, and may issue the permit. If a quorum is present, the Board of Appeals may take action under this section by a majority vote of the members present. The grounds of every such determination shall be stated.