Multiple choice

Present ages of Ritu and Sahil are in the ratio of $5 : 4$ respectively. Three years hence, the ratio of their ages will become $11 : 9$, respectively. What is Sahil's present age in years?

  1. $16$
  2. $24$
  3. $36$
  4. Cannot be determined

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

R = 5x, S = 4x. (5x+3)/(4x+3) = 11/9. 9(5x+3) = 11(4x+3). 45x + 27 = 44x + 33. x = 6. Sahil's age = 4x = 24.

AI explanation

Let the present ages of Ritu and Sahil be 5x and 4x. Three years hence, their ages will be 5x + 3 and 4x + 3, giving the equation (5x + 3) / (4x + 3) = 11 / 9. Cross-multiplying yields 45x + 27 = 44x + 33, which simplifies to x = 6. Sahil's present age is 4 times 6, or 24 years.