Multiple choice

The present age of a mother is 3 years more than three times the age of her daughter. Three years hence, the mother's age will be 10 years more than twice the age of the daughter. Find the present age of the mother in years ?

  1. 27

  2. 30

  3. 33

  4. 36

  5. 42
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let D be the daughter's age and M be the mother's age. We have M = 3D + 3 and (M + 3) = 2(D + 3) + 10. Solving these equations gives D = 10 and M = 33.

AI explanation

Let the daughter's present age be D and the mother's present age be M. The first statement gives M = 3D + 3. The second statement translates to M + 3 = 2(D + 3) + 10, which simplifies to M = 2D + 13. Equating the two equations gives 3D + 3 = 2D + 13, so D = 10. Substituting D back into the first equation gives M = 3(10) + 3 = 33 years.

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