Final answer:
The sister's age is 28 years old.
Step-by-step explanation:
To find the age of the sister, we can set up the equations:
Let the brother's age be 3x
Let the sister's age be 2x
According to the given information, the sum of their ages is 70:
3x + 2x = 70
5x = 70
x = 14
So, the sister's age is 2x = 2 * 14 = 28 years old. Therefore, the sister is 28 years old.