Question
The ratio of the present ages of ‘P’ and ‘Q’ is 3:2, respectively. 6 years ago, the ratio of their ages was 5:3. The sum of the present ages of ‘P’ and ‘Q’ is:
Solution
Let the present ages of ‘P’ and ‘Q’ be ‘3x’ and ‘2x’ years, respectively ATQ; (3x - 6)/(2x - 6) = 5/3 Or, 9x - 18 = 10x - 30 Or, x = 12 Now, sum of present ages of ‘P’ and ‘Q’ = 3 × 12 + 2 × 12 = 60
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