1. Except as hereinafter provided, in assessing property, both real and personal, in cities of the third class, the city assessor shall, jointly with the county or township assessor, assess all property in such city, and such assessment, as made by the city assessor and county or township assessor jointly, and after the same has been passed upon by the board of equalization, as herein provided for, shall be taken as the basis from which the city council shall make the levy for city purposes; and for the purpose of giving cities of the third class representation on the county board of equalization, when said board is sitting for the purpose of equalizing the assessment on such city property, the mayor and city assessor shall sit with the county board of equalization when the said board is passing upon the assessment of such city property, and shall each have a vote in said board, and they shall be paid for such service the same amount per day and out of the same fund as other members of such board of equalization.

2. The assessment of city property as made by the city and county assessor shall conform to each other, and after such board of equalization has passed upon such assessment and equalized the same, the city assessor’s book shall be corrected in red ink in accordance with the changes made by the board of equalization, and so certified by said board, and then returned to the city council.