Question
Eight years ago, the ratio of the ages of A to B was
7:5. Currently, the average age of A, B, and C is 48 years. Twenty years from now, C will be 16 years younger than B. Determine the present age ratio of A to C.Solution
Let age of A and B, 8 years ago was 7x years and 5x years respectively. Present age of C = 5x + 8 – 16 = ‘5x – 8’ years According to question; 12x + 16 + 5x – 8 = 48 × 3 = 144 Or, 17x = 136 Or, x = 8 Present age of A = 7 × 8 + 8 = 64 years Present age of C = 5 × 8 – 8 = 32 years Desired Ratio = 64:32 = 2:1 Hence, option b
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