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

Question

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?
Translate into Algebra (ANSWER ISNT M X 4

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Kennedy 2 weeks 2021-09-11T00:56:47+00:00 1 Answer 0

Answers ( )

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    2021-09-11T00:58:37+00:00

    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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