Alright, let's break down the problem and form an equation based on the given information.
1. Identify the variables:
- Let [tex]\( k \)[/tex] represent Kelly's age.
- Since Julia is 4 years older than twice Kelly's age, Julia's age can be expressed as [tex]\( 2k + 4 \)[/tex].
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 [tex]\( k \)[/tex] and Julia's age [tex]\( 2k + 4 \)[/tex] should equal 96.
Putting it all together, we get the equation:
[tex]\[ k (2k + 4) = 96 \][/tex]
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.
