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SMO 2008 Junior Round 1 Question 8

SMO · SMO 2008 Junior Round 1

Question 8

Let $x,y,z$ be non-negative numbers. Suppose $x+y=10$ and $y+z=8$. Let $S=x+z$. What is the sum of the maximum and the minimum value of $S$?
  1. $16$
  2. $18$
  3. $20$
  4. $24$
  5. $26$