If A.M. and GM. of two positive numbers a and b are 10 and 8, respectively find the numbers.

Explanation

To solve the problem, we need to find two positive numbers \( a \) and \( b \) given their arithmetic mean (A.M.) and geometric mean (G.M.).

### Step-by-Step Solution:

1. **Understanding the Means**:
- The arithmetic mean (A.M.) of two numbers \( a \) and \( b \) is given by:
\[
\text{A.M.} = \frac{a + b}{2}
...