The sum of the ages of three people-Anna, Ben, and Chloe-is 96. Anna is twice as old as Ben, and Ben is 4 years older than Chloe. In 8 years, Anna will be three times as old as Chloe was 4 years ago. How old are Anna, Ben, and Chloe now?

Let the current ages of Anna, Ben, and Chloe be denoted as \( A \), \( B \), and \( C \), respectively.

### Step 1: Set up the given relationships as equations.
1. The sum of their ages is 96:
   \[
   A + B + C = 96
   \]
2. Anna is twice as old as Ben:
   \[
   A = 2B
   \]
3. Ben is 4 years older than Chloe:
   \[
   B = C + 4
   \]
4. In 8 years, Anna will be three times as old as Chloe was 4 years ago:
   \[
   A + 8 = 3(C - 4)
   \]

### Step 2: Solve the system of equations.
We have the system of equations:
1. \( A + B + C = 96 \)
2.

The sum of the ages of three people—Anna, Ben, and Chloe—is 96. Anna is twice as old as Ben, and Ben is 4 years older than Chloe. In 8 years, Anna will be three times as old as Chloe was 4 years ago. How old are Anna, Ben, and Chloe now?

Learn how to solve an age-related word problem involving Anna, Ben, and Chloe. The sum of their ages is 96, and the problem involves a system of equations where Anna is twice as old as Ben, Ben is 4 years older than Chloe, and more. Suitable for students in Grades 8-10.

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