Multiple choice

The mother's age is three times her daughter's age. Three years ago, the mother's age was four times her daughter's age. Find the present ages (in years) of the daughter and the mother.

  1. 6 and 18

  2. 9 and 27

  3. 10 and 30

  4. 11 and 33

  5. a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let daughter age be x, mother be 3x. (3x-3) = 4(x-3). 3x-3 = 4x-12, so x = 9. Daughter = 9, Mother = 27.

AI explanation

Let the daughter's present age be D years and the mother's present age be 3D years. Three years ago, the mother was (3D - 3) years old and the daughter was (D - 3) years old. Using the given condition, 3D - 3 = 4(D - 3), which simplifies to 3D - 3 = 4D - 12, yielding D = 9. Therefore, the daughter is 9 years old and the mother is 27 years old.

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