Question
Six years ago, the ratio of the ages of a father and his son was 5 : 2. After six years, the ratio of their ages will become 7 : 4. What is the present age of the father?
Solution
ATQ, Let their ages 6 years ago be: Father = 5x Son = 2x So, present ages are: Father = 5x + 6 Son = 2x + 6 After 6 more years: Father = 5x + 12 Son = 2x + 12 Given, (5x + 12) / (2x + 12) = 7/4 4(5x + 12) = 7(2x + 12) 20x + 48 = 14x + 84 6x = 36 x = 6 Father's present age = 5x + 6 = 30 + 6 = 36 years Hence, the correct answer is 36 years.
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