• # question_answer The present ages of Chetna and Shikha are in the ratio of 5 : 7 respectively. After 7 years, their ages will be in the ratio of 11 : 14 respectively. What is the difference between their ages? A)  9 years                         B)  4 years C)  5 years             D)       None of these

Let the present ages of Chetana and Shikha be $5x$ and $7x$ years respectively. After 7 years,        $\frac{5x+7}{7x+7}=\frac{11}{14}$ $\Rightarrow$ $\frac{5x+7}{x+1}=\frac{11}{2}$  $\Rightarrow$ $11x+11=10x+14$ $\Rightarrow$ $x=3$ $\therefore$ Required difference $=7x-5x=2x=2\,\,\,\,3=6$ years