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For some integers that are not palindromes, like 91, a person can create a palindrome by repeatedly reversing the number and adding the original number to its reverse. for example, $91 + 19 = 110$. then $110+011 = 121$, which is a palindrome, so 91 takes two steps to become a palindrome. of all positive integers between 10 and 100, what is the sum of the non-palindrome integers that take exactly six steps to become palindromes?

Respuesta :

The sum of non- palindrome integer is b

What is Palindrome number?

A palindromic number is a number that remains the same when its digits are reversed.

Given:

$91 + 19 = 110$. then $110+011 = 121$

So, there are two numbers which needed 6 steps to become a palindrome number

First, 79

79 +97

=176 + 671

=847 + 748

=1,595 + 5,951

=7,546 + 6,457

=14,003 + 30,041

=44,044

and, the second number is

97 + 79=176

176+671=847

847+ 748= 1595

1,595 + 5,951 = 7,546

7,546 + 6,457 = 14,003

14,003 + 30041

= 44044

Hence, the sum of digits is 16.

Learn more about palindrome here:

https://brainly.com/question/19052372

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