Answered

A palindromic number is a number that reads the same forwards as it does
backwards (example: 282 or 51715). How many 5-digit palindromic numbers have
digits that add up to 14?

Answer :

MRROYALGO

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

How to determine the count of 4-digit palindromes

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

[tex]Digits = 7 + 7 + 9 + 1 +1[/tex]

Evaluate the sum

[tex]Digits = 25[/tex]

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

https://brainly.com/question/26375501

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