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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) 9 Years
b) 7 Years
c) 3 Years
d) 5 Years

Answer: c
Explanation: Let Nishi’s age be 6x years,
Then Vinnee’s age = 5x years
$$\eqalign{ & \therefore \frac{{6x + 9}}{{5x + 9}} = \frac{9}{8} \cr & \Rightarrow 8\left( {6x + 9} \right) = 9\left( {5x + 9} \right) \cr & \Rightarrow 48x – 45x = 81 – 72 \cr & \Rightarrow 3x = 9 \cr & \Rightarrow x = 3 \cr & {\text{Difference in their ages}} \cr & {\text{ = }}\left( {6x – 5x} \right) \cr & = x {\text{ years}} \cr & = {\text{3 years}} \cr} $$

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