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IMC 2024 Grade 8 — Selection round Question 5

IMC · IMC 2024 Grade 8 — Selection round

Question 5

An operation on positive integers satisfies $a\otimes a=a+2$, $a\otimes b=b\otimes a$, and $\frac{a\otimes(a+b)}{a\otimes b}=\frac{a+b}{b}$. Find $8\otimes5$.
  1. $120$
  2. $122$
  3. $124$
  4. $126$
  5. $128$