Multiple choice

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

  1. 24

  2. 26

  3. 28

  4. 30

  5. 32

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A Correct answer
Explanation

Let ages be 5x and 4x. (5x + 3) / (4x + 3) = 11 / 9. 45x + 27 = 44x + 33. x = 6. Swati's age = 4x = 24.

AI explanation

Let the present ages of Arti and Swati be 5x and 4x respectively. Three years hence, their ages will be 5x plus 3 and 4x plus 3, establishing the proportion (5x plus 3) divided by (4x plus 3) equals 11 divided by 9. Cross multiplying to solve the linear equation yields 45x plus 27 equals 44x plus 33. Solving for x gives x equals 6, and Swati's present age is 4 times 6, which is 24 years.