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 âRahulâ = â5râ years Then, present age of âPuneetâ = 5r Ă 0.80 = â4râ years 2 years hence from now, age of âPuneetâ = (4r + 2) years 2 years hence from now, age of âQureshiâ = (4r + 2) Ă (3/2) = (6r + 3) years 5 years ago from now, age of âQureshiâ = 6r + 3 â 2 â 5 = (6r â 4) years 5 years ago from now, age of âRahulâ = (5y â 5) years According to the question, (5r â 5) = (6r â 4) Ă 0.75 Or, (5r â 5) = (4.5r â 3) Or, 0.5r â 2 = 0 So, r = 2 á 0.5 = 4 So, difference between the ages of âPuneetâ and âQureshiâ = (6r + 3) â (4r + 2) = 2 Ă 4 + 1 = 9 years
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