Multiple choice

The ratio of the present age of Simi to that Seema is 5 : 4. After 9 years, the ratio of their ages will be 8 : 7. What is Simi's present age (in years)?

  1. 12

  2. 15

  3. 24

  4. 21

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

Let ages be 5x and 4x. (5x+9)/(4x+9) = 8/7. 35x + 63 = 32x + 72. 3x = 9, x = 3. Simi's age = 5x = 15.

AI explanation

Let the present ages of Simi and Seema be 5x and 4x respectively. After 9 years, their ages will be 5x + 9 and 4x + 9. Using the given ratio, (5x + 9) / (4x + 9) = 8 / 7, which simplifies to 35x + 63 = 32x + 72. Solving this equation gives 3x = 9, so x = 3. Simi's present age is 5 times 3, which is 15 years.