Question

Sohail is now 4 times as old as sunil. Five years ago, Suhail was 7 times as old as sunil was then. Find their present ages.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Sunil}=\mathrm{x}\mathrm{yrs} \\ \mathrm{Then}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Sohail}=4\mathrm{x}\mathrm{yrs} \\ \mathbf{5}\mathbf{}\mathbf{YEARS}\mathbf{}\mathbf{AGO}\mathbf{}\mathbf{:} \\ \mathrm{Sunil}\text{'}\mathrm{s}\mathrm{age}=\left(\mathrm{x}-5\right)\mathrm{yrs} \\ \mathrm{Sohail}\text{'}\mathrm{s}\mathrm{age}=\left(4\mathrm{x}-5\right)\mathrm{yrs} \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ 4\mathrm{x}-5=7\left(\mathrm{x}-5\right) \\ \Rightarrow 4\mathrm{x}-5=7\mathrm{x}-35 \\ \Rightarrow 4\mathrm{x}-7\mathrm{x}=-35+5 \\ \Rightarrow -3\mathrm{x}=-30 \\ \Rightarrow \mathrm{x}=10 \\ \mathrm{Present}\mathrm{age}\mathrm{of}\mathrm{Sunil}=10\mathrm{yrs} \\ \mathrm{Present}\mathrm{age}\mathrm{of}\mathrm{Sohail}=4\times 10=40\mathrm{yrs} \end{gathered}$$