## Alphabetical Integers

The numbers from "one" to "ninety-nine" are written down in two lists. On one list they are written in numerical order: {`one', `two', `three', \(\ldots\) , `ninety-nine'}. On the other list they are written in alphabetical order. Let \(S\) denote the sum of all numbers which are in the same place on both lists.

Part A | What is \(S\)? | |
---|---|---|

Part B | If "ninety-nine" is replaced by "nine hundred", then what would \(S\) be now? |