Solution

38926

First name
Marcus Deans
School
Beechwood Park School
Country
Age
13

The obvious solution to this would be to use more eggs as it says in the hidden texts. With a large number such as 100 it is always good to work in halves. So firstly, drop one egg off the 50th floor and see if it breaks. If it does then go lower. If it doesn't then go higher. Now at this point, with only one egg left, the halving method would not work and it would have to be a lucky guess. However, with more eggs, if the egg breaks on the 50th go to the 25th floor. If it doesn't, go to the 75th floor. As we halve these numbers we are compartmentalizing the original number so that we are working with smaller and easier numbers. Continue the halving strategy and it won't be long until you have found the answer.