2014 AMC 12A Problem 9
Attempt Problem 9 of the 2014 AMC 12A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2014 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
Five positive consecutive integers starting with have average What is the average of consecutive integers that start with
Answer: B
Small hint:
The average of consecutive integers is the middle one
Big hint:
From the first set , and the new average is
Solution:
The integers have average so
The integers starting at have average
Thus, the correct answer is B.
Problem 9 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
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- 1963 AMC 12
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