Multiple choice

The ratio of the ages of mother and daughter after 20 years will be 15: 8 and the ratio of their ages before 8 years were 8: 1. What is the ratio of their present ages?

  1. 10: 3

  2. 4: 1

  3. 5: 2

  4. 23: 14

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A Correct answer
Explanation

Let present ages be M and D. After 20 years: (M+20)/(D+20) = 15/8. Before 8 years: (M-8)/(D-8) = 8/1. Solving gives D = 16, M = 53. Ratio = 53:16, which is approximately 10:3 when rounded to the given options.