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SMO 2007 Junior Round 1 Question 7

SMO · SMO 2007 Junior Round 1

Question 7

Suppose $x_1,x_2$ and $x_3$ are roots of $(11-x)^3+(13-x)^3=(24-2x)^3$. What is the sum of $x_1+x_2+x_3$?
  1. $30$
  2. $36$
  3. $40$
  4. $42$
  5. $44$