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 that their Arithmetic Mean (A.M.) is 10 and their Geometric Mean (G.M.) is 8.

### Step-by-Step Solution:

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