To solve this puzzle, we need to identify the pattern or rule that transforms the given sums into the resulting numbers. Let's break down each equation to find the pattern:

1. \(8 + 2 = 16106\)
2. \(5 + 4 = 2091\)
3. \(9 + 6 = 54153\)
4. \(7 + 5 = 35122\)

Let's analyze each part of the resulting numbers:

1. \(8 + 2 = 16106\)
- 8 * 2 = 16
- 8 + 2 = 10
- 8 - 2 = 6
- Result: 16106

2. \(5 + 4 = 2091\)
- 5 * 4 = 20
- 5 + 4 = 9
- 5 - 4 = 1
- Result: 2091

3. \(9 + 6 = 54153\)
- 9 * 6 = 54
- 9 + 6 = 15
- 9 - 6 = 3
- Result: 54153

4. \(7 + 5 = 35122\)
- 7 * 5 = 35
- 7 + 5 = 12
- 7 - 5 = 2
- Result: 35122

The pattern seems to be:
- The first part of the result is the product of the two numbers.
- The second part of the result is the sum of the two numbers.
- The third part of the result is the difference between the two numbers.

Now, applying this pattern to \(20 + 3\):
- 20 * 3 = 60
- 20 + 3 = 23
- 20 - 3 = 17

So, the result should be \(602317\).

Therefore, \(20 + 3 = 602317\).