The sum of the ages of a mother and her daughter is 50

Q: Answer-The sum of the ages of a mother and her daughter is 50 years. Four years ago, the mother was five ti...

Let the daughters current age be x years. Then the mothers age is 50 - x years. Four years ago, the daughters age was x - 4 years, and the mothers age was 50 - x - 4 years. According to the problem 50 - x - 4 5x - 4 46 - x 5x - 20 46 20 5x x 66 6x x 11 years Daughter Mothers age 50 - x 39 years.

years. Four years ago, the mother was five times as old as her daughter. What are their current ages?

A Mother: 34 years, Daughter: 16 years Correct Answer Incorrect Answer

B Mother: 40 years, Daughter: 10 years Correct Answer Incorrect Answer

C Mother: 39 years, Daughter: 11 years Correct Answer Incorrect Answer

D Mother: 30 years, Daughter: 20 years Correct Answer Incorrect Answer

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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