Question

Present ages of 'A' and 'B' are in the ratio 3:5, respectively. If B's age, 8 years hence from now will be 3 times of A's age, 12 years ago from now, then find the present age of 'A'.

A 33 years Correct Answer Incorrect Answer
B 30 years Correct Answer Incorrect Answer
C 32 years Correct Answer Incorrect Answer
D 35 years Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the present ages of 'A' and 'B' be '3x' years and '5x' years, respectively. ATQ; (5x + 8) = 3 x (3x - 12) Or, 5x + 8 = 9x - 36 Or, 4x = 44 x = 11 So, present age of 'A' = 3 x 11 = 33 years

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