Multiple choice

The ratio of the ages of Seeta and Geeta is 2:7. After 6 years, the ratio of their ages will be 1:2. What is the difference in their present ages?

  1. 12

  2. 45

  3. 10

  4. 40

  5. 32

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

Let ages be 2x and 7x. (2x+6)/(7x+6) = 1/2. 4x+12 = 7x+6 => 3x = 6 => x = 2. Ages are 4 and 14. Difference is 10.

AI explanation

Let the present ages of Seeta and Geeta be 2x and 7x. After 6 years, the ratio equation is (2x + 6) / (7x + 6) = 1 / 2. Cross-multiplying gives 4x + 12 = 7x + 6, which means 3x = 6 and x = 2. The present ages are 4 and 14, making the difference between their ages 10.