Multiple choice

Three years ago, the ratio of the ages of Amisha and Nimisha was 8:9 respectively. 3 years hence, the ratio of their ages will be 11:12 respectively. What is the present age of Amisha?

  1. 21 years

  2. 16 years

  3. 19 years

  4. Cannot be determined

  5. None of these

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

Let ages 3 years ago be 8x and 9x. Present ages are 8x+3 and 9x+3. 3 years hence, ages are 8x+6 and 9x+6. Ratio (8x+6)/(9x+6) = 11/12. 96x + 72 = 99x + 66, so 3x = 6, x = 2. Amisha's present age = 8(2) + 3 = 19.