Multiple choice

The ratio of present ages of Ratna and Shantanu is 5 : 4. After 19 years, the ratio of their ages will be 10 : 9. What is Ratna's present age?

  1. 19 years

  2. 15 years

  3. 9 years

  4. 72 years
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A Correct answer
Explanation

Let ages be 5x and 4x. (5x + 19) / (4x + 19) = 10 / 9. 45x + 171 = 40x + 190. 5x = 19. x = 3.8. Ratna's age = 5 * 3.8 = 19.

AI explanation

Let the present ages of Ratna and Shantanu be 5x and 4x. After 19 years, their ages will be 5x + 19 and 4x + 19, giving the equation (5x + 19) / (4x + 19) = 10 / 9. Solving this equation gives 45x + 171 = 40x + 190, which simplifies to 5x = 19 and x = 3.8. Ratna's present age is 5x = 5 * 3.8 = 19 years.

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