Question
The ratio of present ages of 'X' and 'Y' is 4:9,
respectively. The difference between the ages of 'X' and 'Y' is 25 years. If the present age of 'Z' is 25% more than that of 'X', then find the average age of 'X', 'Y', and 'Z' four years hence from now.Solution
ATQ, Let the present ages of 'X' and 'Y' be '4x' years and '9x' years, respectively. ATQ: 9x - 4x = 25 5x = 25 x = 5 So, present age of 'X' = 4x = 4 × 5 = 20 years Present age of 'Y' = 9x = 9 × 5 = 45 years Present age of 'Z' = 20 × 1.25 = 25 years Sum of ages of 'X', 'Y', and 'Z' after 4 years from now = (20 + 4 + 45 + 4 + 25 + 4) = 102 years Required average = 102 / 3 = 34 years
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