Forty years ago I was double my brother's age. Now I am only nine years older than he is. Using $m$ for my age and $\mathrm{b}$ for my brother's age now, write two equations that show these two situations. DO NOT SOLVE THEM.

Step 1 ：Let's denote my current age as \(m\) and my brother's current age as \(b\).

Step 2 ：Forty years ago, I was double my brother's age. This can be represented by the equation \(m - 40 = 2 * (b - 40)\).

Step 3 ：Now, I am only nine years older than my brother. This can be represented by the equation \(m = b + 9\).

Step 4 ：\(\boxed{\text{Final Answer: The two equations that represent the two situations are } m - 40 = 2 * (b - 40) \text{ and } m = b + 9}\)