Multiple choice

6 years ago, a mother's age was 6 times her daughter's age. Three years hence the daughter would be one-third her mother's age. The current age (in years) of the mother is:

  1. 45

  2. 39

  3. 36

  4. 42
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let current ages be M (mother) and D (daughter). 6 years ago: M-6 = 6(D-6), so M = 6D-30. 3 years hence: D+3 = (M+3)/3, so M = 3D+6. Equating: 6D-30 = 3D+6, giving D = 12 and M = 42. Option D is correct.

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