Problem

Jim Loy (http://www.jimloy.com) poses this puzzle: I have before me three numeric palindro...

Jim Loy (http://www.jimloy.com) poses this puzzle: I have before me three numeric palindromes (numbers that read the same backward and forward, like 838). The first is two digits long, the second is three digits long, and when we add those two numbers together, we get the third number, which is four digits long. What are the three numbers? (Hint 1: Numeric palidromes can be easily created by making strings of digits first. Hint 2: There is a reason that this exercise is in the lists chapter.)

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