Multiple choice

The sum of the ages of a daughter and her mother is 56 years. After four years, the age of the mother will be three times that of the daughter. At present their ages are ?

  1. 11,45

  2. 10,46

  3. 12,44

  4. 13,43

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let D be daughter's age, M be mother's age. D+M = 56. After 4 years, M+4 = 3(D+4). M+4 = 3D+12, so M = 3D+8. Substitute: D + (3D+8) = 56. 4D = 48, D = 12. M = 56-12 = 44.

AI explanation

Let the present ages of the daughter and mother be D and M. We have D + M = 56, and after four years, M + 4 = 3(D + 4). Simplifying the second equation gives M = 3D + 8. Substituting this into the first equation gives D + 3D + 8 = 56, so 4D = 48 and D = 12. The mother's age is 56 minus 12, making their present ages 12 and 44.

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