$\dfrac{a}{2} = \dfrac{b}{3} = \dfrac{c}{5}$ and $a + b + c = 30$. Then $b$ equals

$\dfrac{a}{2} = \dfrac{b}{3} = \dfrac{c}{5}$ and $a + b + c = 30$. Then $b$ equals
  1. $9$
  2. $6$
  3. $15$
  4. $3$

Solution

Let common ratio $= k$. $a = 2k, b = 3k, c = 5k$. Sum $= 10k = 30 \Rightarrow k = 3$. $b = 9$.

Asked in: MH-SSC-9

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