Christina B. answered • 02/14/20

Experienced, Positive, and Effective Tutor with an M.Ed.

Hi Ximena,

The trick to problems like this is figuring out how to translate the words into equations.

*Carole is twice Lorraine's age. In six years, the sum of their ages will be 30. How old are they now? *

Let's break apart the information one piece at a time.

**Carole is twice Lorraine's age.**

We can write this as C = 2L

In six years, **the sum of their ages will be 30**.

= 30.

**In six years**, the sum of their ages will be 30.

Carol's age will be C+6, and Lorraine's age will be L+6

**In six years**, **the sum of their ages will be 30.**

Therefore, C+6 + L+6 = 30

Now you have a system of equations that you can solve:

C+6 + L+6 = 30, or simplified C + L + 12 = 30

C = 2L

Anywhere where you see "C" in the top equation, you can substitute 2L

C + L + 12 = 30

2L + L + 12 = 30

Now it's a one-variable equation that you can solve for the value of L, Lorraine's age. Once you know that, you can solve for Carole's age.

I hope that helped! If this answer was useful to you, please upvote it.