The mother is older than her daughter by [tex]\frac{3}{4}m[/tex] years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴ [tex]\frac{1}{4}m[/tex] = daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m - [tex]\frac{1}{4}m[/tex]
- Change 1 m to a fraction of denominator 4, then 1 m = [tex]\frac{4}{4}m[/tex]
∴ The difference between their ages = [tex]\frac{4}{4}m[/tex] - [tex]\frac{1}{4}m[/tex] = [tex]\frac{3}{4}m[/tex]
∴ The mother is older than her daughter by [tex]\frac{3}{4}m[/tex] years
The mother is older than her daughter by [tex]\frac{3}{4}m[/tex] years
Learn more:
You can learn more about the fractions in brainly.com/question/1648978
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