Question
The current age ratio of 'P' and 'Q' is 4:7 respectively.
The ratio of the age of 'P' six years from now and the age of 'Q' six years ago is 5:6 respectively. What will be the age of 'P' three years later?Solution
ATQ,
Let the present age of 'P' and 'Q' be 4y and 7y years respectively.
So, (4y + 6) : (7y - 6) = 5 : 6
Or, 6 × (4y + 6) = 5 × (7y - 6)
Or, 24y + 36 = 35y - 30
Or, 11y = 66
So, y = 6
Therefore, required age = 4 × 6 + 3 = 27 years
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