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Discussion

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

  • A.12 years
  • B.14 years
  • C.18 years
  • D.20 years

Answer: D

Let the present ages of son and father be \(x\) and \((60-x)\) years respectively 

Then ,   \((60-x)-6=5(x-6)\)

\( \Rightarrow \)  \(54 - x=5x-30\)

\( \Rightarrow 6x=84\)

\( \Rightarrow x=14 \)

 \( \therefore \) Son's age after 6 years = \(( x+ 6)\)= 20 years

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