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PalindromeIn mathematics, a palindrome is a number that reads the same forward and backward. For example, 353 and 787. By definition, all numbers that have the same digits such as 4, 11, 55, 222, and 6666 are other examples of such number. Given any numbers, you can use the following simple algorithm to find other palindromes. Step 1: Start with any number. Call it original number. Reverse the digits of the original number Step 2: Call the number whose digits are reversed new number. Add the new number to your original number. Call the number found by adding the new number to the original number test number Step 3: If test number is a palindrome, you are done. If not, use your test number as your original number and repeat the steps above Sound complicated? However, it is not!Let us illustrate Example #1: 75 Reversing 75 gives 57 Adding 75 and 57 gives 132 Reversing 132 gives 231 Adding 132 and 231 gives 363 and we are done! Example #2: 255 Reversing 255 gives 552 Adding 255 and 552 gives 807 Reversing 807 gives 708 Adding 807 and 708 gives 1515 Reversing 1515 gives 5151 Adding 1515 and 5151 gives 6666. Now we are done! Now, here is your puzzle. Find 3 numbers less than 100 that require at least 4 additions to obtain palindromes Need a Quick Answer to your Basic Mathematics Problems? Get an answer in 10 minutes or less from a math expert! Justanswer features top-notch math experts handpicked by personnel after they have taken and passed a rigourous math test and after their credentials have been verified by a third party
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