Multiple choice

The ratio of the present ages of Saurabh and Puneet is 13 : 17 , respectively. 4 years ago the respective ratio of their ages was 11 : 15 . What will be the respective ratio of their age 6 years hence ?

  1. 5 : 4

  2. 3 : 2

  3. 2 : 3

  4. 3 : 4

  5. 4 : 5
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E Correct answer
Explanation

Let Saurabh's present age = 13x and Puneet's present age = 17x. Four years ago: (13x-4)/(17x-4) = 11/15. Cross multiply: 15(13x-4) = 11(17x-4), so 195x - 60 = 187x - 44, giving 8x = 16, x = 2. Present ages: Saurabh = 26, Puneet = 34. Six years hence: Saurabh = 32, Puneet = 40. Ratio = 32:40 = 4:5.

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