If $\dfrac{a}{b} = \dfrac{c}{d}$ and $a : b = 2 : 5$, $c = 14$, then $d = $

If $\dfrac{a}{b} = \dfrac{c}{d}$ and $a : b = 2 : 5$, $c = 14$, then $d = $
  1. $28$
  2. $30$
  3. $35$
  4. $40$

Solution

$\dfrac{c}{d} = \dfrac{2}{5} \Rightarrow d = \dfrac{5 \times 14}{2} = 35$.

Asked in: IMO

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