Multiple choice

When Nilesh's age was equal to the present age of Fatima, the ratio of their ages was 9:7. When Fatima's age becomes equal to the current age of Nilesh, the ratio of their ages will be:

  1. 12 : 11

  2. 11 : 9

  3. 10 : 9

  4. 13 : 11

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

Let Nilesh's age be N and Fatima's be F. When Nilesh was F, Fatima was F - (N - F) = 2F - N. The ratio (2F - N)/F = 9/7 implies 14F - 7N = 9F, so 5F = 7N or F/N = 7/5. Setting up the future ratio where Fatima is N, the age difference remains constant, leading to the ratio 13:11.