Question
The age ratio of 'P' and 'Q' 4 years ago was 7:6
respectively. 12 years from now, the ratio of their ages will be 11:10 respectively. What is the present age of 'Q'?Solution
ATQ,
4 years ago, let the age of 'P' and 'Q' be 7x years and 6x years respectively12 years hence,
Age of 'P' = 7x + 4 + 12 = (7x + 16) years
Age of 'Q' = 6x + 4 + 12 = (6x + 16) years
ATQ,
(7x + 16) / (6x + 16) = 11 / 10
⇒ 70x + 160 = 66x + 176
⇒ 4x = 16
⇒ x = 4
So, required age = 6 × 4 + 4 = 28 years
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