If Kendra is 13 years old and her age is half of Justin's age, we can represent Justin's age (J) with the following equation:
\[
Kendra's \ Age = \frac{1}{2} \times Justin's \ Age
\]
Given that Kendra is 13 years old, we can substitute her age into the equation:
\[
13 = \frac{1}{2} \times J
\]
To solve for Justin's age (J), multiply both sides of the equation by 2:
\[
J = 2 \times 13
\]
Thus,
\[
J = 26
\]
The equation representing Justin's age is:
\[
J = 2 \times 13
\]
or equivalently,
\[
J = 2K
\]
where \( K \) is Kendra's age.