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:

$$Stev{e}^{\prime }sage=K+6=8+6=14$$

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: $$Stev{e}^{\prime }sage=K+6=8+6=14$$

So, Steve is indeed 14 years old.