Question
Five years ago, the ratio of the ages of a mother and
her daughter was 7 : 2. Seven years from now, the ratio of their ages will be 2 : 1. What is the present age of the daughter?Solution
Let their ages 5 years ago be 7x and 2x. So, present ages are: Mother = 7x + 5 Daughter = 2x + 5 After 7 years from now: Mother = 7x + 12 Daughter = 2x + 12 Given, (7x + 12) / (2x + 12) = 2 / 1 7x + 12 = 4x + 24 3x = 12 x = 4 Present age of daughter = 2x + 5 = 8 + 5 = 13 years Hence, the correct answer is 13 years.
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