Father is $3$ yr older than the mother and the mother's age is now twice the daughter's age. If the daughter is $20$ yr old now, then the father's age when the daughter was born.

The daughter is 20 years old now, so the mother is 2 times 20 = 40 years old. The father is 3 years older than the mother, making him 40 + 3 = 43 years old now. When the daughter was born 20 years ago, the father's age was 43 - 20 = 23 years.

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• Wrong explanation