Multiple choice

The sum of the ages of a mother and daughter is 50 years. Five years ago, the mother's age was 7 times the age of daughter. What is the current of the daughter?

  1. 5 years

  2. 10 years

  3. 12 years

  4. 15 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let M and D be current ages. M + D = 50. Five years ago: M - 5 = 7(D - 5). Substituting M = 50 - D: (50 - D) - 5 = 7D - 35, so 45 - D = 7D - 35, 8D = 80, D = 10.

AI explanation

Let the mother's and daughter's current ages be M and D years, so M + D = 50. Five years ago, their ages were M - 5 and D - 5, giving the equation M - 5 = 7(D - 5), which simplifies to M - 7D = -30. Substituting M = 50 - D into the second equation yields 50 - 8D = -30, meaning 8D = 80 and D = 10.

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