Multiple choice

One year ago, Ram's age was four times that of Rohan's age. Six years hence, Ram's age will be 9 years more than Rohan's age. Find the ratio of present ages of Ram and Rohan.

  1. 13 : 3

  2. 13 : 4

  3. 13 : 5

  4. 13 : 6

  5. 13 : 7
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B Correct answer
Explanation

Let Ram's age be R and Rohan's be H. (R-1) = 4(H-1) => R-1 = 4H-4 => R = 4H-3. (R+6) = (H+6) + 9 => R+6 = H+15 => R = H+9. Equating: 4H-3 = H+9 => 3H = 12 => H=4. Then R = 4+9 = 13. Ratio R:H = 13:4.

AI explanation

Let the present ages of Ram and Rohan be R and H. One year ago, R - 1 = 4(H - 1), so R = 4H - 3. Six years hence, (R + 6) = (H + 6) + 9, which simplifies to R = H + 9. Equating the two expressions gives 4H - 3 = H + 9, so 3H = 12 and H = 4. Substituting H into the equation gives R = 4 + 9 = 13, making the ratio of their present ages 13 to 4.

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