Question
Twelve years ago, the ratio of the ages of Amit and Bheema was 4:5. Currently, the average age of Bheema and Chinu is 33 years, and the ratio of the present ages of Amit and Chinu is 3:2. What is the ratio of the present ages of Bheema and Chinu?
Solution
ATQ, Let age of Amit and Bheema, 12 years ago was 4a years and 5a years respectively. Present age of Chinu = 33 × 2 – (5a + 12) = (54 – 5a) years ATQ; (54 – 5a)/(4a + 12) = 2/3 Or, 162 – 15a = 8a + 24 Or, 23a = 138 Or, a = 6 So, present age of Bheema = 5 × 6 + 12 = 42 years Present age of Chinu = 54 – 5 × 6 = 24 years Desired ratio = 42:24 = 7:4
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