If $a:b:c = 2:3:4$ and $a + c = 18$, then $b$ equals

If $a:b:c = 2:3:4$ and $a + c = 18$, then $b$ equals
  1. $9$
  2. $6$
  3. $12$
  4. $3$

Solution

$2k + 4k = 6k = 18 \Rightarrow k = 3$. $b = 3k = 9$.

Asked in: MH-SSC-9

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