Answer :

Sure! Let's tackle this step-by-step:

1. Establish the relationship between Mike's and Steve's ages:
- We know Mike is currently \(c\) years old.
- We're given that Mike is half as old as Steve. This means Steve is twice as old as Mike.

2. Express Steve's current age in terms of Mike's age:
- If Mike's age is \(c\), then Steve's current age, \(S\), can be expressed as:
[tex]\[ S = 2c \][/tex]

3. Determine Steve's age two years ago:
- To find out how old Steve was two years ago, we subtract 2 years from his current age:
[tex]\[ S_{\text{two years ago}} = 2c - 2 \][/tex]

4. Conclusion:
- Hence, Steve's age two years ago was \(2c - 2\) years old.

So, Steve was [tex]\(2c - 2\)[/tex] years old two years ago.

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