Question
Present ages of ‘K’ and ‘L’ are in the ratio
14:6, respectively. If ‘t’ years hence from now, ‘K’ will be twice as old as ‘L’, then find the percentage increase in the age of ‘L’ during this period.Solution
ATQ, Let the present ages of ‘K’ and ‘L’ be ‘14x’ years and ‘6x’ years, respectively. ATQ; 14x + t = 2 × (6x + t) Or, 14x + t = 12x + 2t Or, 2x = t So, required percentage = (2x/6x) × 100 = 33.33%
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