The ratio between Sumit's and Prakash's age a | vedclass

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(D) Let the present age of Sumit be $2x$ and the present age of Prakash be $3x$.According to the problem,Sumit is $6 	ext{ yr}$ younger than Prakash,

Vedclass · Accepted Answer

$3:4$

Vedclass · Answer

(D) Let the present age of Sumit be $2x$ and the present age of Prakash be $3x$.According to the problem,Sumit is $6 	ext{ yr}$ younger than Prakash,so $3x - 2x = 6$,which gives $x = 6$.Therefore,the present age of Sumit is $2 	imes 6 = 12 	ext{ yr}$ and the present age of Prakash is $3 	imes 6 = 18 	ext{ yr}$.After $6 	ext{ yr}$,Sumit's age will be $12 + 6 = 18 	ext{ yr}$ and Prakash's age will be $18 + 6 = 24 	ext{ yr}$.The required ratio of their ages after $6 	ext{ yr}$ is $18:24$,which simplifies to $3:4$.

The ratio between Sumit's and Prakash's age at present is $2:3$. Sumit is $6 \text{ yr}$ younger than Prakash. What will be the ratio of Sumit's age to Prakash's age after $6 \text{ yr}$?

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