2. A mother is three times as old as her daughter. In 12 years' time she will be twice as old as her daughter will be then.
How old is the mother no. w?​

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            

step-by-step explanation: