The result of adding the difference of 3.003 and 2.05 to their sum is:

For two numbers where one is larger, say a (the larger) and b (the smaller), their sum is a + b and their difference is a − b. Adding the difference to the sum, (a + b) + (a − b), always equals 2a — twice the larger number — because the b terms cancel out.

1. Identify the larger and smaller numbers: a = 3.003, b = 2.05.

2. Compute the sum: a + b = 3.003 + 2.05 = 5.053.

3. Compute the difference: a − b = 3.003 − 2.05 = 0.953.

4. Add the difference to the sum: 5.053 + 0.953 = 6.006.

Using the identity sum + difference = 2a: 2 × 3.003 = 6.006, which matches the computed value, confirming the result.

So the required result is 6.006.