Multiple choice

At present, Meena's age is eight times her daughter's age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10 : 3. What is Meena's present age?

  1. 32 years

  2. 40 years

  3. 36 years

  4. Cannot be determined

  5. None of these

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A Correct answer
Explanation

Let daughter's age be x, Meena's be 8x. (8x + 8) / (x + 8) = 10 / 3. 24x + 24 = 10x + 80. 14x = 56, x = 4. Meena's age = 8 * 4 = 32.

AI explanation

Let the daughter's present age be x, making Meena's age 8x; in 8 years, the ratio of their ages is (8x + 8) / (x + 8) = 10 / 3. Solving this equation gives 24x + 24 = 10x + 80, which simplifies to 14x = 56 and x = 4. Meena's present age is 8 * 4 = 32. The result is 32 years.