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2012 preRMO p4, RMO=240, RO+M-46, R+MO=64, R+M+O=?

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June 16, 2019
number theory

Problem Statement

The letters R,MR, M, and OO represent whole numbers. If R×M×O=240R \times M \times O = 240, R×O+M=46R \times O + M =46 and R+M×O=64R + M \times O = 64, what is the value of R+M+OR + M + O?
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