The mother is 2 times older than her daughter, and together they are 60 years old. How old is the mother?

Let’s denote the daughter’s age by x.

Let us express the age of the mother in x.

In the condition of the problem it is said that the mother is 2 times older than her daughter, therefore, the mother’s age is 2 years.

It is also known that together the daughter and mother are 60 years old, therefore, we can make the following equation:

x + 2x = 60.

We solve the resulting equation and find the daughter’s age:

3x = 60;

x = 60/3;

x = 20 years.

Knowing the daughter’s age, we find how old the mother is:

2x = 2 * 20 = 40 years.

Answer: the mother is 40 years old.