Question
Two years later, the ratio of Puneet's and Qureshi's
ages will be 2:3. Currently, Puneet's age is 20% less than Rohit's. Five years ago, Rohit's age was 25% less than Qureshi's. Determine how many years older Qureshi is than Puneet.Solution
ATQ, Let the present age of ‘Rahul’ = ‘5r’ years Then, present age of ‘Puneet’ = 5r × 0.80 = ‘4r’ years 2 years hence from now, age of ‘Puneet’ = (4r + 2) years 2 years hence from now, age of ‘Qureshi’ = (4r + 2) × (3/2) = (6r + 3) years 5 years ago from now, age of ‘Qureshi’ = 6r + 3 – 2 – 5 = (6r – 4) years 5 years ago from now, age of ‘Rahul’ = (5y – 5) years According to the question, (5r – 5) = (6r – 4) × 0.75 Or, (5r – 5) = (4.5r – 3) Or, 0.5r – 2 = 0 So, r = 2 ÷ 0.5 = 4 So, difference between the ages of ‘Puneet’ and ‘Qureshi’ = (6r + 3) – (4r + 2) = 2 × 4 + 1 = 9 years
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