A group of X engineers can complete a project in Y days, and Y architects can complete the same project in X days. If 13 engineers and 17 architects work together, they can complete the entire project in 50 2 3 days. A team consisting of (Z + 5) interns, 6 engineers, and 8 architects can complete a project in 40 days. If the same project can be completed by Z interns in 80 days, find the value of Z.