NIELIT 2022 Feb Scientist C - Section C: 6

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The ratio between the ages of Ajay and Vijay at present is $2: 3.$ Ajay is $6$ years younger than Vijay. The ratio of Ajay's age to Vijay's age after $6$ years will be :

1. $2: 3$
2. $1: 2$
3. $4: 3$
4. $3: 4$

let the present age of Ajay is $2x$ and Vijay present age is $3x$.

It is given that Ajay is $6$ year younger than Vijay: $2x=3x-6\implies x=6$

such a present age of Ajay=$12$ year

present age of Vijay=$18$

So the ratio of Ajay to Vijay age after $6$ year $=\frac{12+6}{18+6}\implies\frac{18}{24}=\frac{3}{4}$

So Option $(D)$ is correct.

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