MathDB
Three-Digit Sum of Palindromes

Source: 2019 AMC 8 #13

November 19, 2019

Problem Statement

A palindrome is a number that has the same value when read from left to right or from right to left. (For example, 12321 is a palindrome). Let NN be the least three-digit integer which is not a palindrome but which is the sum of three distinct two-digit palindromes. What is the sum of the digits of NN?
<spanclass=latexbold>(A)</span>2<spanclass=latexbold>(B)</span>3<spanclass=latexbold>(C)</span>4<spanclass=latexbold>(D)</span>5<spanclass=latexbold>(E)</span>6<span class='latex-bold'>(A) </span>2\qquad<span class='latex-bold'>(B) </span>3\qquad<span class='latex-bold'>(C) </span>4\qquad<span class='latex-bold'>(D) </span>5\qquad<span class='latex-bold'>(E) </span>6