Multiple choice

Farah got married 8 years ago. Today her age is 9/7 times her age at the time of her marriage. At present her daughter's age is one-sixth of her age. What was her daughter's age 3 years ago?

  1. 3 years

  2. 5 years

  3. 4 years

  4. 6 years

  5. None of these
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A Correct answer
Explanation

Let F be age at marriage. Current age = F + 8. F + 8 = (9/7)F. 8 = (2/7)F. F = 28. Current age = 36. Daughter = 36/6 = 6. 3 years ago, daughter was 6 - 3 = 3.

AI explanation

Let Farah's age 8 years ago be x, making her present age x + 8. The equation for her current age is x + 8 = (9/7) * x, which yields 7x + 56 = 9x, so x = 28 and her present age is 36. Her daughter's present age is one-sixth of hers, making it 36 / 6 = 6. Therefore, her daughter's age 3 years ago was 6 - 3 = 3 years.

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