Question

ABCDEFGH is a cube in which ABCD is the top face, with vertices, H, G, F and E directly below the vertices A, B, C and D respectively. A real number is assigned to each vertex. At each vertex, the average of the numbers in the three adjacent vertices is then computed. The averages obtained at A, B, C, D, E, F, G, H are 1, 2, 3, 4, 5, 6, 7, 8 respectively. Find the number assigned to vertex F.​

Answer 1

Answer:

ABCDEFGH is a cube in which ABCD is the top face, with vertices, H, G, F and E directly below the vertices A, B, C and D respectively. A real number is assigned to each vertex. At each vertex, the average of the numbers in the three adjacent vertices is then compute. The averages obtained at A, B, C, D, E, F, G, H are 1, 2, 3, 4, 5, 6, 7, 8 respectively. Find the number assigned to vertex F.