Question

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?​

Answer 1

The mother is 36 years now.

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

Answer 2

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