dhanuthokar
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a woman is thrice as old as her daughter .Twelve years hence, she will be twice as old as her daughter. Find their present ages.
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TheBrainliestIndian

Answer:

Their present ages are:

  • Her daughter's age = 12 years
  • Women's age = 36 years

Step-by-step explanation:

Given that:

  • A woman is thrice as old as her daughter.
  • 12 years hence, she will be twice as old as her daughter.

To Find:

  • Their present ages.

Let us assume:

  • Her daughter age be x.
  • Women's age = 3x

After 12 years:

  • Her daughter's age = x + 12
  • Women's age = 3x + 12

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages:

  • Her daughter's age = x = 12 years
  • Women's age = 3x = (3 × 12) = 36 years

Ages after 12 years:

  • Her daughter's age = x + 12 = (12 + 12) = 24 years
  • Women's age = 3x + 12 = (3 × 12) + 12 = (36 + 12) = 48 years

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