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lidiya [134]
3 years ago
15

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

The mother is older than her daughter by \frac{3}{4}m 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

∴ \frac{1}{4}m = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - \frac{1}{4}m

- Change 1 m to a fraction of denominator 4, then 1 m = \frac{4}{4}m

∴ The difference between their ages = \frac{4}{4}m - \frac{1}{4}m = \frac{3}{4}m

∴ The mother is older than her daughter by \frac{3}{4}m years

The mother is older than her daughter by \frac{3}{4}m years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

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