Question
6 years ago from now, the average age of ‘P’ and
‘Q’ was 28 years. The ratio of present age of ‘P’ and ‘R’ is 4:5, respectively. If ‘R’ is 5 years younger than ‘Q’, then find the age of ‘Q’ 6 years hence from now.Solution
Let the present age of ‘P’ and ‘R’ be 4x years and 5x years respectively. So, the present age of ‘Q’ = (5x + 5) years Sum of the ages of ‘P’ and ‘Q’ 6 years ago from now = 28 X 2 = 56 years Sum of the present age of ‘P’ and ‘Q’ = 56 + 12 = 68 years ATQ, (4x + 5x + 5) = 68 Or, 9x = 63 So, ‘x’ = 7 So, the present age of ‘Q’ = 5 X 7 + 5 = 40 years Therefore, required age = 40 + 6 = 46 years
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