Question

Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a ?

Answer 1

which one
a + 12 = 13 a plus Start Fraction 1 over 2 End Fraction equals 13 2a = 13 2 a equals 13 12a = 13 Start Fraction 1 over 2 End Fraction a equals 13 13a = 2

Answer 2

If Kendra is 13 years old and her age is half the age of Justin, we can express this relationship with the following equation:

Kendra's age = (1/2) * Justin's age

Since Kendra is 13 years old, we can substitute her age into the equation:

13 = (1/2) * a

Where \( a \) represents Justin's age. To eliminate the fraction, you can multiply both sides of the equation by 2:

2 * 13 = a

This simplifies to:

26 = a

Thus, the equation representing Justin's age is:

\[ a = 26 \]

In terms of the original equation, you can also rearrange it to:

\[ a = 2 * 13 \]

So, the equation that represents Justin’s age in terms of Kendra’s age is:

\[ a = 2 * 13 \] or \( a = 26 \) where \( a \) is Justin's age.

Answer 3

To represent Justin's age (\(a\)) based on Kendra's age (which is 13), we know that Kendra's age is half of Justin's age. The correct interpretation would be:

Kendra's age = \(\frac{1}{2} \times \text{Justin's age}\)

This can be expressed mathematically as:

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

To eliminate the fraction, multiply both sides by 2:

\[ 2 \times 13 = a \]

This simplifies to:

\[ 26 = a \]

So the correct equation among the options provided is:

**\(\frac{1}{2}a = 13\)**

This equation can also be rewritten as:

**\(a = 2 \times 13\)**

Therefore, from your options, the equation that correctly represents Justin’s age based on Kendra's age is:

**\(\frac{1}{2}a = 13\)**.