# Today Rebecca, who is 34 years old…

## Solution:

We are given that Rebecca is 34 years old and that her daughter is 8 years old. We must determine in how many years Rebecca’s age will be twice her daughter’s age.

Let’s let x = the number of years that must pass before Rebecca’s age is twice her daughter’s age. We see that at that time Rebecca will be (34 + x) years old, and her daughter will be (8 + x) years old. Further, we know that, at that time in the future, Rebecca will be **two times** her daughter’s age.

We can create the following equation to express the relationship between the two ages at that time in the future:

34 + x = 2(8 + x)

34 + x = 16 + 2x

18 = x

Rebecca’s age will be twice the age of her daughter in 18 years. (Rebecca will be 52 and her daughter will be 26.)

**Answer: C **