Question

7. The age of a woman is four times the age of her daughter. Five years
hence, the age of woman will be three times the age of her daughter.
Represent the given situation algebraically.

Answer 1

Step-by-step explanation:

let the age of her daughter be = x

therefore, the age of woman be = 4x

after 5 years age of daughter = 5 + x

therefore, after 5 years age of woman = 4x + 5

according to the question after 5 years woman will be three times the age of her daughter

therefore, 4x + 5 = 3(5 +x)

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Answer 2

Step-by-step explanation:

Let the present age of the daughter be x years.

Then, Present age of the woman is 4x years.

Five years hence,

4x+5 = 3 (x+5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

So the present age of the Daughter is 10 years.