Kevin is four years older than his sister, June. The sum of their ages is 14. How old is Kevin?(1 point)

Answer 1

Let Kevin's age be \( K \) and June's age be \( J \). According to the problem, we have two equations:

1. \( K = J + 4 \) (Kevin is four years older than June)
2. \( K + J = 14 \) (The sum of their ages is 14)

Now we can substitute the first equation into the second:

\[ (J + 4) + J = 14 \]

This simplifies to:

\[ 2J + 4 = 14 \]

Now, subtract 4 from both sides:

\[ 2J = 10 \]

Next, divide both sides by 2:

\[ J = 5 \]

Now we can find Kevin's age by substituting \( J \) back into the first equation:

\[ K = J + 4 = 5 + 4 = 9 \]

Thus, Kevin is 9 years old.