Problem

A palindrome is any number that reads the same backward as forward, for example, 121 and 2...

A palindrome is any number that reads the same backward as forward, for example, 121 and 2332. Try the following: Begin with any multi-digit number. Is it a palindrome? If not, reverse the digits and add this reversed number to the original number. Is the result a palindrome? If not, repeat the procedure until a palindrome is obtained. For example, start with 78. Because 78 is not a palindrome, we add: 78 + 87 = 165. Because 165 is not a palindrome, we add: 165 + 561 = 726. Again, 726 is not a palindrome, so we add 726 + 627 to obtain 1353. Finally, 1353 + 3531 yields 4884, which is a palindrome. Try this method with the following numbers:

a. 93

b. 588

c. 2003

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