Question

Renu is 26 years younger than her mother . in 9 years her mother will be twice as old as renu. What r the present ages of renu and her mother

Answer 1

Dear student
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{present}\mathrm{age}\mathrm{of}\mathrm{Renu}\mathrm{be}\mathrm{x}. \\ \mathrm{Then}\mathrm{Present}\mathrm{age}\mathrm{of}\mathrm{Renu}\text{'}\mathrm{s}\mathrm{mother}\mathrm{will}\mathrm{be}\mathrm{x}+26 \\ \mathrm{After}9\mathrm{years}, \\ \mathrm{Renu}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}\mathrm{x}+9 \\ \mathrm{and}\mathrm{her}\mathrm{mother}\text{'}\mathrm{s}\mathrm{age}\mathrm{will}\mathrm{be}\mathrm{x}+26+9=\mathrm{x}+35 \\ \mathrm{According}\mathrm{to}\mathrm{question} \\ \mathrm{x}+35=2\left(\mathrm{x}+9\right) \\ \Rightarrow \mathrm{x}+35=2\mathrm{x}+18 \\ \Rightarrow \mathrm{x}=17 \\ \mathrm{So},\mathrm{Renu}\text{'}\mathrm{s}\mathrm{present}\mathrm{age}\mathrm{is}17\mathrm{years}. \\ \mathrm{and}\mathrm{Renu}\text{'}\mathrm{s}\mathrm{mother}\text{'}\mathrm{s}\mathrm{present}\mathrm{age}\mathrm{is}17+26=43\mathrm{years}. \end{gathered}$$
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