Steve is 6 years older than Kim. Their ages total 22

Question

How old is Steve?

answers:

8

14

16

17

Answer 1

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.

Answer 2

are you sure

Answer 3

Yes, I am confident in the solution. Here's the breakdown again to ensure clarity:

1. Let \( K \) represent Kim's age.
2. Since Steve is 6 years older than Kim, Steve's age can be represented as \( K + 6 \).
3. According to the problem, the sum of their ages is 22: \[ K + (K + 6) = 22 \]
4. Simplifying that equation yields: \[ 2K + 6 = 22 \]
5. Subtract 6 from both sides: \[ 2K = 16 \]
6. Dividing both sides by 2 gives us: \[ K = 8 \]

Now, to find Steve's age: \[ Steve's \ age = K + 6 = 8 + 6 = 14 \]

So, Steve is indeed 14 years old.