The letters $R$, $M$, and $O$ represent whole numbers. If the following conditions are satisfied: 
1. $R \times M \times O = 240$, 
2. $R \times O + M = 46$, 
3. $R + M \times O = 64$, 

what is the value of $R + M + O$?

Let's think step by step and output the final answer within \boxed{}.
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