Question

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**.