2025 YIJC P1 Q2

Ronald is writing a novel. He began his new novel on \(1\) March \(2025\), writing \(23\) pages on the first day. On each subsequent day, he writes \(90\%\) of the number of pages he has written the previous day.

1. Find the total number of pages Ronald will have written by \(31\) March \(2025\).[1]

Sam is also writing a novel. He began writing his novel on \(8\) March \(2025\), writing \(2\) pages on the first day. On each subsequent day, he writes \(1\) more page than the day before.

2. Find the first date on which Sam writes more pages in a day than Ronald.[2]
3. Find the first date on which Sam’s total number of pages written exceeds Ronald’s.[2]