Multiple choice

The sum of the ages of Ravi and Mohan is 128. Six year ago ratio of their ages will be 15 : 14. What is Mohan present age?

  1. 58 years

  2. 62 years

  3. 66 years

  4. 72 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R and M be present ages. R+M = 128. Six years ago, (R-6)/(M-6) = 15/14. Solving 14R - 84 = 15M - 90 gives 15M - 14R = 6. Substituting R = 128 - M: 15M - 14(128 - M) = 6, 29M = 1792 + 6 = 1798, M = 62.

AI explanation

Let Ravi's and Mohan's present ages be 15X and 14X respectively based on their ratio six years ago. This gives the equation 15X + 6 + 14X + 6 = 128. Solving 29X = 116 gives X = 4, so Mohan's present age is 14 multiplied by 4 plus 6, totaling 62 years.

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