Mathematics

The age of a woman is four times the age of her daughter. Five years hence, the age of the woman will be three times the age of her daughter. The present age of the daughter is

  1. 40 years

  2. 20 years

  3. 15 years

  4. 10 years

Linear Equations

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Answer

Let age of daughter be x years so, the age of woman is 4x years.

After 5 years,

Age of daughter = (x + 5) years

Age of woman = (4x + 5) years.

According to question,

⇒ 4x + 5 = 3(x + 5)

⇒ 4x + 5 = 3x + 15

⇒ 4x - 3x = 15 - 5

⇒ x = 10.

Hence, Option 4 is the correct option.

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