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1. The ages of Nitish and Vinnee are in the ratio 6 : 5 respectively. After 9 years the ratio of their ages will be 9 : 8. What is the difference in their ages now ?

A. 3 Years

B. 5 Years

C. 7 Years

D. 9 Years

Solution:

Let Nishi's age be 6x years,
Then Vinnee's age = 5x years

\begin{aligned} ∴ \frac{6 x + 9}{5 x + 9} = \frac{9}{8} \\ \Rightarrow 8 (6 x + 9) = 9 (5 x + 9) \\ \Rightarrow 48 x - 45 x = 81 - 72 \\ \Rightarrow 3 x = 9 \\ \Rightarrow x = 3 \\ Difference in their ages \\ = (6 x - 5 x) \\ = x years \\ = 3 years \end{aligned}

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