Question
Four years from now, the age of 'A' will be 60% of the
age of 'B' at that time. The combined present ages of 'A' and 'B' exceed the current age of 'C' by 27 years. The present age of 'C' is 25 years. Determine the age of 'D' three years from now, given that 'D's current age is 45% more than 'A's present age.Solution
Let the present ages of 'A' be 'm' years. Combined present ages of 'A' and 'B' = 25 + 27 = 52 years Present age of 'B' = (52 - m) years ATQ, (m + 4) = 0.6 X (52 - m + 8) Or, m + 4 = 36 - 0.6m Or, m + 0.6m = 36 - 4 So, 'm' = (32/1.6) = 20 Therefore, required age of 'D' = 1.45m + 3 = 1.45 X 20 + 3 = 32 years
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