Question
5years ago, the ages of 'Arunita' and 'Bhasker' were in
the ratio 2:3. 5years from now, the age of 'Arunita' will be 25% less than that of 'Bhasker'. Determine the sum of their current ages.Solution
ATQ, Let the ages of 'Arunita' and 'Bhasker', five years ago from now, was '2a' years and '3a' years, respectively. (2a + 10) = (3a + 10) × 0.75 Or, 2a + 10 = 2.25a + 7.5 Or, 0.25a = 2.5 So, a = 10 So, present age of 'Arunita' = 2a + 5 = 2 × 10 + 5 = 25 years And present age of 'Bhasker' = 3x + 5 = 3 × 10 + 5 = 35 years So, required sum = 25 + 35 = 60 years
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