Two circles touch externally. The sum of their areas is 130 `pis qdotc mdot` and the distance between their centres is 14cm. Find the radii of the circles.

Explanation

To solve the problem, we need to find the radii of two circles that touch each other externally, given the sum of their areas and the distance between their centers.

### Step-by-Step Solution:

1. **Understand the Given Information:**
- Let the radius of the first circle be \( R_1 \) and the radius of the second circle be \( R_2 \).
- The distance between the centers of the circles is given as \( 14 \, \text{cm} \).
- The sum of their areas is given as \( 130 \pi \, \text{cm}^2 \).
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