Let's denote Kim's age as \( K \). Since Steve is 6 years older than Kim, we can express Steve's age as \( K + 6 \).
According to the information given, the sum of their ages equals 22:
\[ K + (K + 6) = 22 \]
Simplifying this:
\[ 2K + 6 = 22 \]
Subtracting 6 from both sides:
\[ 2K = 16 \]
Now, dividing both sides by 2:
\[ K = 8 \]
So, Kim is 8 years old. To find Steve’s age, we add 6:
\[ Steve's \ age = K + 6 = 8 + 6 = 14 \]
Thus, Steve is 14 years old.