Question

Q1. Sita is 6 years older than her friend Ashish. Sita's father is twice as old as Sita and Ashish is twice as old as his sister. The age of Sita's father is 39 years more than the age of Ashish's sister. Find the ages of Sita and Ashish.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{age}\mathrm{of}\mathrm{Ashish}=\mathrm{x}\mathrm{yrs} \\ \mathrm{Now},\mathrm{Sita}\text{'}\mathrm{s}\mathrm{age}=\left(\mathrm{x}+6\right)\mathrm{yrs} \\ \mathrm{Now},\mathrm{age}\mathrm{of}\mathrm{Sita}\text{'}\mathrm{s}\mathrm{father}=2\left(\mathrm{x}+6\right)\mathrm{yrs}=\left(2\mathrm{x}+12\right)\mathrm{yrs} \\ \mathrm{Now},\mathrm{age}\mathrm{of}\mathrm{Ashish}\text{'}\mathrm{s}\mathrm{sister}=\frac{\mathrm{x}}{2}\mathrm{yrs} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 2\mathrm{x}+12=\frac{\mathrm{x}}{2}+39 \\ \Rightarrow 2\mathrm{x}-\frac{\mathrm{x}}{2}=39-12 \\ \Rightarrow \frac{3\mathrm{x}}{2}=27 \\ \Rightarrow \mathrm{x}=18 \\ \mathrm{So},\mathrm{age}\mathrm{of}\mathrm{Ashish}=18\mathrm{yrs} \\ \mathrm{Sita}\text{'}\mathrm{s}\mathrm{age}=18+6=24\mathrm{yrs} \end{gathered}$$