Question
The current ages of 'P' and 'Q'
are in the ratio 9:13. The age difference between them after 5 years will be 12 years. Currently, 'R's age is 2/3 of 'P's age, while 'S's age is 1/3 of 'Q's age. By what percentage is 'S's age greater or smaller than 'R's age two years from now?Solution
ATQ, Let the present ages of 'P' and 'Q' be '9a' years and '13a' years, respectively. We know that, difference between the ages of two people remains same. ATQ, 13a - 9a = 12 Or, 4a = 12 So, 'a' = 3 Age of 'R' two years hence from now = [(2/3) X 9 X 3] + 2 = 20 years Present age of 'S' = (1/3) X 13 X 3 = 13 years Therefore, required % = [(20 - 13) ÷ 20] X 100 = 35%
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