Multiple choice

Six years ago ratio of age of Ranjeet and Sikha was 5:4 and ratio of age of Sikha and Richa at the same time was 3:2. If 10 years from now Ranjeet will be 14 years elder to Richa. Find the sum of their present ages.

  1. 72 years

  2. 94 years

  3. 69 years

  4. 88 years

  5. Can not be determined

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

Let ages 6 years ago be Ranjeet=5x, Sikha=4x. Sikha:Richa=3:2=4x:8x/3, so Richa=8x/3. Present: Ranjeet=5x+6, Sikha=4x+6, Richa=8x/3+6. In 10 years: Ranjeet=5x+16, Richa=8x/3+30. Given 5x+16=8x/3+30, solving gives x=6. Present sum=36+30+22=88 years.