Question

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

How old is Steve?

answers:

8

14

16

17

Answer 1

are you sure

Answer 2

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 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**.