Five years ago, Amit's age at that time was one-third of Somi's age at that time. The ratio of Amit's age six years hence and Somi's age ten years hence, will be 1 : 2. What was Somi's age three years ago? (in years)

Let the present ages of amit and somi be a and s respectively

five years ago age of amit was = a-5 and that of Somi was = s- 5

Thus, $$ a-5 = \frac{s-5}{3} $$

So, 3a - s = 10  ...(1)

Also, ratio of Amit's age six years hence and Somi's age ten years hence is 1 : 2.

Thus, $$ \frac{a+6}{s+10} = \frac{1}{2} $$

So, s - 2a = 2 ...(2)

Adding equation (1) and (2), we get

3a - 2a = 10+2

a = 12 years

So s = 3a-10 = 36-10 =26 years

Thus, Somil's present age is 26 years.

3 years agoe his age would've been 26-3 = 23 years

Hence, option B is the right answer.