Question
12 years back, Abhishek and
Bheema had their ages in the ratio of 4:5. Currently, the average of Bheema’s and Chintu’s ages is 33 years, and the present age ratio of Abhishek to Chintu is 3:2. Determine the ratio of Bheema’s current age to Chintu’s current age.Solution
ATQ, Let age of Abhishek and Bheema, 12 years ago was 4x years and 5x years respectively. Present age of Chintu = 33 × 2 – (5x + 12) = (54 – 5x) years ATQ, (54 – 5x)/(4x + 12) = 2/3 Or, 162 – 15x = 8x + 24 Or, 23x = 138 Or, x = 6 So, present age of Bheema = 5 × 6 + 12 = 42 years Present age of Chintu = 54 – 5 × 6 = 24 years Desired ratio = 42:24 = 7:4
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