Multiple choice

The sum of the present ages of a mother and her daughter is 50 years. Five years ago, the mother's age was 7 times her daughter's age. Then Mother's age 5 years hence will be ?

  1. 40

  2. 45

  3. 48

  4. 50

  5. 44

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). M-5 = 7D - 35, M = 7D - 30. Substitute: (7D - 30) + D = 50, 8D = 80, D = 10. M = 40. Five years hence, Mother's age = 40 + 5 = 45.

AI explanation

Five years ago, the sum of their ages was 40 years (50 minus 2 times 5). Let the daughter's age at that time be y, which makes the mother's age 7y; the equation becomes y plus 7y equals 40, so y equals 5. The mother's age five years ago was 35, meaning her present age is 40, and her age five years hence will be 45.