Three numbers in ratio $1:2:3$ sum to $60$. The largest is

Three numbers in ratio $1:2:3$ sum to $60$. The largest is
  1. $30$
  2. $20$
  3. $10$
  4. $15$

Solution

$k + 2k + 3k = 6k = 60 \Rightarrow k = 10$. Largest $= 3k = 30$.

Asked in: MH-SSC-9

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