Multiple choice

The current ages of Romila and Ranjan are in the ratio 3 : 2. After 5 years, the ratio of their ages becomes 4 : 3. What is the current age of Ranjan?

  1. 15 years

  2. 10 years

  3. 20 years

  4. 11 years

  5. 9 years

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

Let ages be 3x and 2x. (3x + 5) / (2x + 5) = 4 / 3. 9x + 15 = 8x + 20. x = 5. Ranjan's age = 2x = 10 years.

AI explanation

Let the current ages of Romila and Ranjan be 3x and 2x respectively. After 5 years, their ages will be 3x plus 5 and 2x plus 5, and the given ratio is 4 to 3, establishing the equation 3x plus 5 divided by 2x plus 5 equals 4 divided by 3. Cross multiplying yields 9x plus 15 equals 8x plus 20, which simplifies to x equals 5. Ranjan's current age is 2 times 5, which is 10 years.