Question

The average age of A, B & C is 48 years. Ratio of present ages of A to C is 3:5 and present age of B is 33.33% more than that of A. find the difference between age of A after 5 years to age of B 2 years ago.

A 5 years Correct Answer Incorrect Answer
B 2 years Correct Answer Incorrect Answer
C 7 years Correct Answer Incorrect Answer
D 15 years Correct Answer Incorrect Answer
E 19 years Correct Answer Incorrect Answer

Solution

Total age of A, B, and C = 48 × 3 = 144 years Let age of A and C is 3x and 5x respectively. Age of B = 3x × 4/3 = 4x According to question, => 3x + 4x + 5x = 144 => 12x = 144 => x = 12 Required difference = (4 × 12 − 2) − (3 × 12 + 5) = 5 years        

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