Question
Kevin is four years older than his sister, June. The sum of their ages is 14. How old is Kevin?(1 point)
years old
years old
Answers
GPT-4o mini
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**.
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**.