Final answer:
The smallest 4-digit palindrome that is the sum of two 3-digit palindromes is 11911. The smallest 3-digit palindrome is 101.
Step-by-step explanation:
The smallest 4-digit palindrome that is the sum of two 3-digit palindromes is 11911.
To find this, we can start by looking for 3-digit palindromes. The smallest 3-digit palindrome is 101. If we add it to another 3-digit palindrome, such as 111 or 121, we can see that the sum will be a 4-digit palindrome. Therefore, 101 + 111 = 11911 is the smallest 4-digit palindrome that is the sum of two 3-digit palindromes.