Multiple choice

The ratio of the present ages of Piyush and Bharat is 11 : 13. 15 years ago, the ratio of ages of Piyush and Bharat was 17 : 21. What is the present age (in years) of Piyush?

  1. 66

  2. 63

  3. 51

  4. 78

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

Let ages be 11x and 13x. (11x - 15) / (13x - 15) = 17/21. 21(11x - 15) = 17(13x - 15). 231x - 315 = 221x - 255. 10x = 60, x = 6. Piyush age = 11 * 6 = 66.

AI explanation

Let the present ages of Piyush and Bharat be 11x and 13x, respectively. The equation for their ages 15 years ago is (11x - 15) / (13x - 15) = 17 / 21. Cross-multiplying yields 231x - 315 = 221x - 255, which simplifies to 10x = 60 and x = 6. Therefore, Piyush's present age is 11 * 6 = 66 years.