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

## Answers ( )

1. The mother is older than her daughter by 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

= daughter’s age

– Subtract the daughter’s age from her mother’s age

∵ The difference of their ages = m –

– Change 1 m to a fraction of denominator 4, then 1 m =

∴ The difference between their ages = =

∴ The mother is older than her daughter by years

The mother is older than her daughter by years