Question
Currently, the ages of 'P' and 'Q' are in the ratio of
4:9. 'Y' years in the past, the ratio of their ages was 1:3. Three years from now, 'P' will be half as old as 'Q' is today. Determine the value of 'Y'.Solution
Let the present ages of 'P' and 'Q' be '4x' years and '9x' years, respectively. ATQ: 4x + 3 = 9x ÷ 2 Or, 8x + 6 = 9x So, 'x' = 6 Present age of 'P' = 4x = 4 X 6 = 24 years And present age of 'Q' = 9x = 9 X 6 = 54 years ATQ; {(24 - Y) /(54 - Y) } = (1/3) Or, 72 - 3Y = 54 - Y Or, 18 = 2Y So, 'Y' = 9
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