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How many positive four-digit integer palindromes have 12 as the sum of the digits of the munber?

81


What is the smallest digits palindrome that is the sum of two 3 digit palindromes?

The smallest digit palindrome that is the sum of two 3-digit palindromes is 121. This is achieved by adding the two 3-digit palindromes 101 and 20, both of which are palindromic. Therefore, 101 + 101 = 202, but if we consider a valid case with two different palindromes, we can use 111 and 110, which gives us 221, the next smallest palindrome. However, the smallest individual palindrome formed by the sum of any two 3-digit palindromes remains 121.


What is the smallest 4 digit palindrome that is the sum of 2 3 digitit palindrome?

The smallest 4-digit palindrome is 1001. To find if it can be expressed as the sum of two 3-digit palindromes, consider the smallest 3-digit palindromes, which are 101, 111, 121, etc. The combination of 101 and 900 (another 3-digit palindrome) gives 1001, making 1001 the sum of two 3-digit palindromes. Thus, the answer is 1001.


How many 4 digit palindromes are multiples of 9?

Nine. The sum of the digits must be a multiple of 9; because of the repeated digits, this is only possible if the first two digits add up to 9.


What are all the four and five digit numbers that have a digit sum of 6 and are palindromes?

1221, 2112, 3003, 10401, 11211, 12021


How many two-digit numbers has a digit sum equal to 5?

There are five such numbers.


How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?

Six. 1551 2442 3333 4224 5115 6006


How many positive 3-digit integers can be formed that the 100s digit is equal to the sum of the 10s and 1s digit?

54


How many two-digit primes have the sum of the digits equal to 8?

Three of them.


How many three digit numbers have the sum of their digits equal to 22?

21.


How many three digit numbers have the sum of their numbers equal to 5?

30,25,15,20, or 10.


How many numbers are equal to the sum of two odd one digit numbers?

2,4,6,8,10,12,14,16,18