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Question

Age of ‘A’ after 12 years will be three time of his age 20 years ago. Eight years hence from now, ratio of ages of ‘A’ and ‘B’ will be 2:3, respectively. If present average age of ‘A’, ‘B’ and ‘C’ is 40 years, then find the present age of ‘C’.

A 31 years Correct Answer Incorrect Answer
B 20 years Correct Answer Incorrect Answer
C 28 years Correct Answer Incorrect Answer
D 21 years Correct Answer Incorrect Answer

Solution

Let present age of ‘A’ be ‘a’ years So, 3(a – 20) = a + 8 Or, 3a – 60 = a + 8 Or, 2a = 68 Or, a = 34 Present age of ‘B’ = 3/2 × {34 + 8} – 8 = 63 – 8 = 55 years Present age of ‘C’ = 40 × 3 – 34 – 55 = 31 years

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