Question
Currently, the average age of individuals 'A' and 'B' is
17 years, with 'A' being 2 years older than 'B'. The age of 'C' is 50% greater than that of 'A', and 'D' is 25% younger than 'B'. Calculate the ratio of the present ages of 'C' to 'D'.Solution
Let the present age of ‘B’ and ‘A’ respectively be ‘y’ years and (y + 2) years Sum of present ages of ‘A’ and ‘B’ = 17 × 2 = 34 years So, y + y + 2 = 34 Or, 2y + 2 = 34 So, y = (34 – 2) ÷ 2 = 16 So, present age of ‘A’ and ‘B’ is 18 years and 16 years, respectively Present age of ‘C’ = 18 × 1.50 = 27 years Present age of ‘D’ = 16 × 0.75 = 12 years So, required ratio = 27:12 = 9:4 Hence, option c.
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