Multiple choice

The ratio of the present ages of Seema and Mohan is 2 : 5 and of Farah and Seema is 6 : 2. After 5 years, the ratio of the ages of Seema and Farah will be 3 : 7. What is the present age of Mohan?

  1. 15 years

  2. 20 years

  3. 25 years

  4. 30 years

  5. 35 years
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C Correct answer
Explanation

Let Seema's age be 2x and Mohan's be 5x. Since Farah:Seema = 6:2, Farah's age is 3 * Seema's age = 6x. After 5 years, (2x + 5) / (6x + 5) = 3/7. Solving for x: 14x + 35 = 18x + 15, so 4x = 20, x = 5. Mohan's age is 5x = 25.

AI explanation

Let the present ages of Seema and Farah be 2x and 6x based on their given ratios. After 5 years, the ratio of Seema's age to Farah's age will be 3 : 7, giving the equation (2x + 5) divided by (6x + 5) equals 3 divided by 7. Cross-multiplying yields 14x + 35 = 18x + 15, which simplifies to 4x = 20 and x = 5. Since Mohan's present age corresponds to 5x from the initial ratio, his present age is 25 years.

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