Multiple choice

Present age of Dharam and his daughter Isha are in the ratio of 9 : 2 respectively Dharam's wife Hema is 3 years younger than him and two years hence the ratio between ages of Hema and Isha will be 7 : 2 respectively. What is Isha present age in years?

  1. 8 years

  2. 5 years

  3. 36 years

  4. 33 years

  5. 11 years
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A Correct answer
Explanation

Let Isha's age be 2x and Dharam's age be 9x (ratio 9:2). Hema is 3 years younger than Dharam, so Hema's age = 9x - 3. Two years hence: Hema = 9x - 1, Isha = 2x + 2. Given ratio (9x - 1)/(2x + 2) = 7/2. Cross-multiply: 18x - 2 = 14x + 14. Solving: 4x = 16, x = 4. Isha's present age = 2x = 8 years.

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