Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari's age and Natalie's age is the same as the sum of Courtney's age and Adre's age. The equation below represents the ages.

2x - (x-3) = x+x/2

In the equation, the variable x represents:

• Courtney's age

• Andre's age

• Natalie's age

• Shari's age

In the equation, the variable x represents:

Courtney's age.

Step-by-step explanation:

If we assume that the age of Courtney is: x

Then as:

Courtney is twice as old as Andre.

This means that Andre will be half the age of Courtney.

This means that the age of Andre is: x/2

Also, Courtney is three years older than Natalie.

This means that Natalie is 3 years younger to Courtney.

This means that the age of Natalie is: x-3.

Also, Courtney is half Shari's age.

This means that Shari is twice the age of Courtney.

i. e. Age of Shari = 2x

Now, it is given that:

The difference between Shari's age and Natalie's age is the same as the sum of Courtney's age and Adre's age.

i. e. we have:

2x - (x-3) = x+x/2

i am sorry if i'm wrong but i believe the answer is Courtney's age