Aman was born three years after his parents' marriage, and Aman’s mother is three years younger than his father. Aman is 20 years younger than his mother, and after three years the ratio of his father’s age to his mother’s age will be 11:10. Find how many years before Aman was born his parents got married.

10 years
7 years
13 years
8 years

Correct answer: 10 years

Solution

Let the present ages of father and mother be \(F\) and \(M\), with \(F=M+3\). After 3 years, \(\frac{F+3}{M+3}=\frac{11}{10}\), which gives the parents' present ages. Aman is 20 years younger than his mother, so his age is found, and since he was born 3 years after marriage, the marriage occurred 10 years before his birth.

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