Question

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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Answer 1

Their present ages are:

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

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