NIELIT 2016 DEC Scientist B - Section A: 46

Question

The ratio between Sumit's and Prakash's age at present is $2:3$. Sumit is $6$ years younger than Prakash. The ratio of Sumit's age to Prakash's age after six years will be :

• A. $1:2$
• B. $2:3$
• C. $3:4$
• D. $3:8$

Answer 1

Let the Sumit's and Prakash's age at present is $2x$ years and $3x$ years respectively.

Sumit is $6$ years younger than Prakash, so $2x = 3x-6$

$\implies x = 6$

$\therefore$ The present age of Sumit $ = 2x = 12$ years and the present age of Prakash $ = 3x = 18$ years.

Now, the ratio of Sumit's age to Prakash's age after six years will be $ = \dfrac{12+6}{18+6} = \dfrac{18}{24}  = \dfrac{3}{4}$

Hence, The ratio of Sumit's age to Prakash's age after six years will be $3:4.$

So, the correct answer is $(C).$