Question

Ajay is 4 times as old as his son after 16 years he will be twice as old as his son. Find the sun's present age?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{son}=\mathrm{x}\mathrm{yrs} \\ \mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Ajay}=4\mathrm{x}\mathrm{yrs} \\ \mathrm{After}16\mathrm{years}: \\ \mathrm{son}\text{'}\mathrm{s}\mathrm{age}=\left(\mathrm{x}+16\right)\mathrm{yrs} \\ \mathrm{Ajay}\text{'}\mathrm{s}\mathrm{age}=\left(4\mathrm{x}+16\right)\mathrm{yrs} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ 4\mathrm{x}+16=2\left(\mathrm{x}+16\right) \\ \Rightarrow 4\mathrm{x}+16=2\mathrm{x}+32 \\ \Rightarrow 4\mathrm{x}-2\mathrm{x}=32-16 \\ \Rightarrow 2\mathrm{x}=16 \\ \Rightarrow \mathrm{x}=8 \\ \mathrm{So},\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{son}=8\mathrm{yrs} \\ \mathrm{Present}\mathrm{age}\mathrm{of}\mathrm{Ajay}=32\mathrm{yrs} \end{gathered}$$