Multiple choice

The age of mother today is thrice as that of her daughter. After twelve years the age of the mother will be twice that of her daughter. The age of the daughter today is

  1. 18yr

  2. 16yr

  3. 14yr

  4. 12yr
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let daughter's age be x, mother's be 3x. After 12 years, 3x + 12 = 2(x + 12). Solving gives 3x + 12 = 2x + 24, so x = 12.

AI explanation

Let the present ages of the mother and daughter be 3x and x years. After twelve years, their ages will be 3x + 12 and x + 12, and the given ratio is 2:1, leading to the equation 3x + 12 = 2(x + 12). Solving this gives 3x + 12 = 2x + 24, so x = 12. Thus, the age of the daughter today is x, which is 12 years.

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