Juan is 8 years older than his sister Rosa.One day, Juan tells Rosa he is twice her age, but will only be twice her age for one year.To figure out the ages of Juan and Rosa you must first identify the variables. What are the variables in this problem?

The variables are the unknowns in the story.

Do you know the age of Juan, of Rosa?

X = Rosa age

X + 8 = 2x = Juan age

x + 8 = 2x
x = 8 = Rosa age
2 * x = 2 * 8 = 16 = Juan age.

To solve this problem, we need to identify the variables involved. In this case, the variables are the ages of Juan and Rosa. Let's assign the variables:

Let "J" represent Juan's age.
Let "R" represent Rosa's age.

Now that we have identified and labeled the variables, we can proceed to solve the problem.