Answer :

Certainly! Let's solve the problem step-by-step by addressing each of the clues provided.

### Clue 1: Counting in tens, I am the number after 2124
1. Identify the current number: 2124.
2. Since we are counting in tens, add 10 to 2124 to find the next number.
3. [tex]\( 2124 + 10 = 2134 \)[/tex].

Therefore, the number you are looking for in the first clue is 2134.

### Clue 2: I am 500 more than 5478
1. Identify the current number: 5478.
2. Add 500 to this number to find the new number.
3. [tex]\( 5478 + 500 = 5978 \)[/tex].

Therefore, the number you are looking for in the second clue is 5978.

By following these steps, we find that the numbers you need based on the given clues are:

- For the first clue: 2134
- For the second clue: 5978