On the problem of vertex number (V) face number (f) edge number (E) in simple polyhedron of Euler formula V + F-E = 2 The shape of a glass ornament is a simple polyhedron. Its outer surface is made up of two kinds of polygons: triangle and octagon. It has 24 vertices, and each vertex has three edges. The number of outer surface of polyhedron is x, and the number of octagon is y. find the value of X + y

The title is indefinite equation, and the equation can be used
(3 and 8 are the number of edges of triangle and octagon respectively) 3x + 8y = 24 * 3 edges in total
3x+8y=72
Using the enumeration method, X and y must be integers 3 + 8y = 72
8y=69
69 / 8 is not an integer
8 * 8 = 6 * 72
24+48=72
From this we can get that if x is 8 and Y is 6, then x + y = 8 + 6 = 14

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