Question

2. A mother is three times as old as her daughter.

Answer 1

The mother would be 48 years old.
At the beginning the mother is 36 and the daughter is 12. Making her 3 times older. In 12 years the daughter would be 24 and the mother would be 48. Making her twice as old as her daughter

Answer 2

Answer:

        The mother is 36 years now.

Step-by-step explanation:

x       - the age of the daugther now

3x    - the age of the mother now

x + 12      - the age of the daugther in 12 years' time

3x + 12   - the age of the mother in 12 years' time

The mother will be twice as old as her daughter will be then:

3x + 12 = 2·(x + 12)

3x + 12 = 2x + 24            {subtract 2x from both sides}

x + 12 = 24                      {subtract 12 from both sides}

x = 12                 (the age of the daughter now)

3x = 3·12 = 36