Question 49
The pages of a notebook are numbered consecutively such that the first sheet contains the numbers $1$ and $2$, the second sheet contains the numbers $3$ and $4$, and so on. One sheet is torn out of the notebook. The page numbers on the remaining sheets are added. The resulting sum equals $2021$.
a. How many pages can the notebook have had originally?
b. Which page numbers could be found on the sheet that has been torn out?
a. How many pages can the notebook have had originally?
b. Which page numbers could be found on the sheet that has been torn out?