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

years old

1 answer

Let June's age be \( x \). Then, Kevin's age would be \( x + 4 \) since he is four years older than June.

According to the problem, the sum of their ages is 14:

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

Simplifying the equation:

\[ 2x + 4 = 14 \]

Subtracting 4 from both sides:

\[ 2x = 10 \]

Dividing by 2:

\[ x = 5 \]

So, June is 5 years old. Therefore, Kevin's age is:

\[ x + 4 = 5 + 4 = 9 \]

Thus, Kevin is 9 years old.