Kendras age is half the age of Justin. Kendra is 13 years old. Which if the following equations represents Justians age, a?

1/2a = 13

2a = 13

a + 1/2 = 13

13a = 2

1 answer

To express Justin's age in terms of Kendra's age, we start with the information given: Kendra's age is half of Justin's age.

Let \( a \) represent Justin's age. According to the problem, we have:

\[ \text{Kendra's age} = \frac{1}{2} \times \text{Justin's age} \]

Since Kendra is 13 years old, we can write:

\[ 13 = \frac{1}{2} a \]

Now we need to find the equation among the options that correctly represents this relationship. Rewriting the equation gives us:

\[ \frac{1}{2} a = 13 \]

This matches the first option. The correct equation that represents Justin's age \( a \) is:

\[ \frac{1}{2}a = 13 \]