Question
In four years, the age ratio of 'X' and 'Y' will be
10:13, respectively. The current average age of 'Y' and 'Z' is 54 years, and the present average age of 'X' and 'Z' is 48 years. Calculate the current age of 'X'.Solution
ATQ, Let ages of ‘X’ and ‘Y’, 4 years hence from now be ‘10a’ years and ‘13a’ years, respectively. And, present age of ‘Z’ be ‘b’ years. So, 13a + b – 4 = 54 × 2 = 108 And, 10a + b – 4 = 48 × 2 = 96 So, 3a = 108 – 96 = 12 Or, a = 4 Present age of ‘X’ = 10 × 4 – 4 = 36 years
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