Question
The age of 'P' five years from
now will be equal to the age of 'Q' four years before now. Additionally, twice the current age of 'P' is three years more than the current age of 'Q'. If 'R' is four years younger than 'P', determine the present age of 'R' (in years).Solution
ATQ,
Let the present age of 'P' and 'Q' be 'x' and 'y' years respectively. ATQ: x + 5 = y - 4 Or, y - x = 9 ---------- (I) And, 2x = y + 3 Or, 'y' = 2x - 3 On putting value of 'y' in equation (I) , We get, 2x - 3 - x = 9 Or, 'x' = 12 Therefore, required age = 12 - 4 = 8 years
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