If $a:b = 5:7$ and the sum of antecedent and consequent is $36$, $a$ equals

If $a:b = 5:7$ and the sum of antecedent and consequent is $36$, $a$ equals
  1. $15$
  2. $21$
  3. $5$
  4. $12$

Solution

$5k + 7k = 12k = 36 \Rightarrow k = 3$. $a = 15$.

Asked in: MH-SSC-9

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