Final answer:
The mother is three times the daughter's age older than her daughter. If the daughter's age is 'd' years, the age difference between them is '3d' years.
Step-by-step explanation:
The question asks about the age difference between a mother and her daughter, given that the mother is four times as old as her daughter. To find out how many years older the mother is than her daughter, let's call the daughter's age 'd'. Since the mother is four times as old as the daughter, the mother's age is '4d'.
The mother's age is also given as 'm', so = 4d'. To find the difference in their ages, we subtract the daughter's age from the mother's age: 'm - d'. Substituting '4d' for 'm', the difference becomes '4d - d', which simplifies to '3d'. Therefore, the mother is three times the daughter's age older than her daughter.