Question

Jayesh is twice as old as his friend Paritosh . Paritosh is 5 year older than Ali . In 3 years jayesh will be three times as old as Ali how old is Paritosh now

Answer 1

Dear student
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Ali}\mathrm{be}\mathrm{x}. \\ \mathrm{Then}\mathrm{Paritosh}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}5+\mathrm{x} \\ \mathrm{And}\mathrm{Jayesh}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}2(5+\mathrm{x}). \\ \mathrm{After}3\mathrm{years}, \\ \mathrm{Ali}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}(\mathrm{x}+3)\mathrm{years} \\ \mathrm{Paritosh}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}(5+\mathrm{x})+3\mathrm{years} \\ \mathrm{Jayesh}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}2(5+\mathrm{x})+3\mathrm{years} \\ \mathrm{Now},\mathrm{According}\mathrm{to}\mathrm{question} \\ 2(5+\mathrm{x})+3=3(\mathrm{x}+3) \\ \Rightarrow 10+2\mathrm{x}+3=3\mathrm{x}+9 \\ \Rightarrow \mathrm{x}=4 \\ \mathrm{So},\mathrm{Paritosh}\text{'}\mathrm{s}\mathrm{present}\mathrm{age}\mathrm{will}\mathrm{be}5+4=9\mathrm{years} \end{gathered}$$
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