Short Answer 
The problem involves identifying a pattern in numbers by summing two pairs of digits separately. For example, 3525 becomes 35 + 25 = 60, while 5050 yields 50 + 50 = 100, illustrating the rule’s application.
Step 1: Understand the Problem
The task involves finding a pattern in numbers based on a specific rule. The goal is to identify how the number on the left side can be manipulated to yield the result on the right side. Each number consists of two pairs of digits which need to be summed up separately.
Step 2: Apply the Summation Rule
For each number, split it into two parts: the first two digits and the last two digits. Then, apply the summation rule by doing the following:
- For the number 3525, calculate 35 + 25 = 60.
- For the number 9110, calculate 91 + 10 = 101.
- For the number 1091, calculate 10 + 91 = 101.
Step 3: Compute the Final Example
Using the same process, now apply it to the number 5050. Separate the digits into two groups and sum them:
- For 5050, perform the calculation 50 + 50 = 100.
- This demonstrates the pattern, leading us to understand that 5050 produces a result of 100 when applying the same summation rule.