Positive Numbers a and b: Determining Their Sum Properties

To solve this problem, we need to understand the properties of positive numbers and their behavior under addition.

• Step 1: Identify the given information.
  We have two numbers, $a$ and $b$, and both are positive ($a > 0$ and $b > 0$).
• Step 2: Apply the properties of positive numbers.
  According to the properties of real numbers, if both $a$ and $b$ are positive, their sum $a + b$ is also positive.
• Step 3: Conclude based on addition of positive numbers.
  Given $a > 0$ and $b > 0$, it follows directly $a + b > 0$.

Therefore, the sum of the two positive numbers $a$ and $b$ is Positive.