2013 AMC 8 Problem 17
Attempt Problem 17 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
17.
The sum of six consecutive positive integers is What is the largest of these six integers?
Answer: B
Small hint:
The average of six consecutive integers is halfway between the middle two.
Big hint:
The largest is more than the average.
Video solution:
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Written solution:
Let the six consecutive integers be . Their sum is
Thus , so . The largest integer is .
Thus, B is the correct answer.
Problem 17 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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