Alright, let's break down the problem and form an equation based on the given information.
1. Identify the variables:
- Let \(\( k \)\) represent Kelly's age.
- Since Julia is 4 years older than twice Kelly's age, Julia's age can be expressed as \(\( 2k + 4 \)\).
2. Express the product of their ages:
- The product of Kelly's age and Julia's age is given as 96.
3. Form the equation:
- The product of Kelly's age \(\( k \)\) and Julia's age \(\( 2k + 4 \)\) should equal 96.
Putting it all together, we get the equation:
\(\[ k (2k + 4) = 96 \]\)
This equation effectively models the situation where Julia is 4 years older than twice Kelly's age, and the product of their ages is 96.
