Question

ritu is four times as old as his brother raju. in 4 years time , her age will be twice of rajus age. what are their present ages?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{Raju}\text{'}\mathrm{s}\mathrm{age}=\mathrm{x}\mathrm{years} \\ \mathrm{So},\mathrm{Ritu}\text{'}\mathrm{s}\mathrm{age}=4\mathrm{x}\mathrm{years} \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ (4\mathrm{x}+4)=2(\mathrm{x}+4) \\ \Rightarrow 4\mathrm{x}+4=2\mathrm{x}+8 \\ \Rightarrow 4\mathrm{x}-2\mathrm{x}=8-4 \\ \Rightarrow 2\mathrm{x}=4 \\ \Rightarrow \mathrm{x}=2\mathrm{years} \\ \mathrm{Thus}, \\ \mathrm{Raju}\text{'}\mathrm{s}\mathrm{age}=2\mathrm{years} \\ \mathrm{And},\mathrm{Ritu}\text{'}\mathrm{s}\mathrm{age}=4\times 2=8\mathrm{years} \end{gathered}$$