Multiple choice

6 years ago, the ratio of the ages of Arun and Prathap is 7: 6. Present age of Rajeev is 10 years more than one – sixth of Prathap’s present age. Find the ratio of present age of Prathap and Rajeev, if Arun’s age after 6 years is 40 years?

  1. 2:1

  2. 1:2

  3. 3:2

  4. 4:3

  5. None of these
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A Correct answer
Explanation

Let Arun and Prathap's ages 6 years ago be 7x and 6x. Present ages: Arun = 7x+6, Prathap = 6x+6. Arun after 6 years = 40, so 7x+12 = 40, x = 4. Prathap's present age = 6×4+6 = 30. Rajeev = 10 + (1/6)×30 = 15. Ratio Prathap:Rajeev = 30:15 = 2:1.

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