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VTMO 2017 — Grade 6 — semifinal Question 5

VTMO · VTMO 2017 — Grade 6 — semifinal

Question 5

Distinct natural numbers satisfy $x : y = 6 : 7$ and $\operatorname{gcd} \left(x , y\right) = 6$. Find $x + y$.
  1. $18$
  2. $42$
  3. $48$
  4. $78$
  5. Other