Father is $5$ years older than the mother and the mother's age is now thrice the age of her daughter. The daughter is now $10$ years old. What was the father's age when the daughter was born?

The daughter is 10 years old, so the mother's present age is 3 times 10 which is 30 years. The father is 5 years older than the mother, making his present age 35 years. When the daughter was born 10 years ago, the father's age was 35 minus 10 which is 25 years.

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