Question
The sum of the ages of a mother and her daughter is 50
years. Four years ago, the mother was five times as old as her daughter. What are their current ages?Solution
Let the daughter's current age be x years. Then the mother's age is (50 - x) years. Four years ago, the daughter's age was (x - 4) years, and the mother's age was (50 - x - 4) years. According to the problem: 50 - x - 4 = 5(x - 4) 46 - x = 5x - 20 46 + 20 = 5x + x 66 = 6x x = 11 years (Daughter) Mother's age = 50 - x = 39 years.
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