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MathNet 2004 — Part 02 Question 112

Math Olympiad Vault · MathNet 2004 — Part 02

Question 112

A natural number is written on each face of the cube, and in each vertex is written the product of the numbers on the 3 faces that meet at this vertex. The sum of the numbers at the vertices of the cube is 70. What is the sum of the numbers on the faces of the cube?