Multiple choice

Eighteen years ago, the ratio of ages of Rani and Hema was (2:3). The ratio of their present ages is (4:5). What will be the sum (in years) of the ages of Rani and Hema after 9 years from now?

  1. 79

  2. 89

  3. 99

  4. 109

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

Let present ages be 4x and 5x (ratio 4:5). Eighteen years ago: (4x-18):(5x-18) = 2:3. Cross-multiply: 3(4x-18) = 2(5x-18), giving 12x-54 = 10x-36, so 2x = 18, x = 9. Present ages: 36 and 45. After 9 years: 45 and 54. Sum = 99 years.