2021 AMC 10A Problem 22AMC 10 Step by Step
Name: Date: September 13, 2026
Diophantine Equations · difficulty 4 of 5 · about 8 min · position P21-25
Hiram's algebra notes are pages long and are printed on sheets of paper; the first sheet contains pages and , the second sheet contains pages and , and so on. One day he leaves his notes on the table before leaving for lunch, and his roommate decides to borrow some pages from the middle of the notes. When Hiram comes back, he discovers that his roommate has taken a consecutive set of sheets from the notes and that the average (mean) of the page numbers on all remaining sheets is exactly . How many sheets were borrowed?
- A)
- B)
- C)
- D)
- E)