Multiple choice

The present ages of Rajan and Simran are in the ratio 3 : 5 and after 5 years the ratio of their ages will be 11 : 15, respectively. What is the present age of Rajan?

  1. 9 years

  2. 8 years

  3. 7 years

  4. 6 years

  5. 5 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 3x and 5x. (3x + 5) / (5x + 5) = 11 / 15. Solving gives 45x + 75 = 55x + 55, so 10x = 20, x = 2. Rajan's age is 3 * 2 = 6.

AI explanation

Let the present ages of Rajan and Simran be 3x and 5x. After 5 years, the ratio is (3x + 5) / (5x + 5) = 11 / 15; cross-multiplying gives 45x + 75 = 55x + 55, so 10x = 20 and x = 2. The present age of Rajan is 3(2) = 6 years.

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