Multiple choice

The ratio of the present age of father to that of son is 7:2. After 10 years theirages will be in the ratio of 9:4. The present ages of the father is

  1. 35 years

  2. 40 years

  3. 30 years

  4. 25 years

  5. none
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A Correct answer
Explanation

Let ages be 7x and 2x. (7x + 10) / (2x + 10) = 9/4. 28x + 40 = 18x + 90. 10x = 50, x = 5. Father's age = 7 * 5 = 35.

AI explanation

Let the present age of the father be 7x and the son be 2x based on their given ratio. After 10 years, their ages will be 7x + 10 and 2x + 10, establishing the equation (7x + 10) / (2x + 10) = 9 / 4. Cross-multiplying results in 28x + 40 = 18x + 90, which simplifies to 10x = 50 and x = 5. The father's present age is 7x, which is 7 multiplied by 5, resulting in 35 years.

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