2022 AMC 8 Problem 6
Attempt Problem 6 of the 2022 AMC 8 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 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Three positive integers are equally spaced on a number line. The middle number is and the largest number is times the smallest number. What is the smallest of these three numbers?
Answer: C
Small hint:
The middle of three equally spaced numbers is their average
Big hint:
If the smallest is , then the largest is
Solution:
Let the smallest number be . Then the largest is . Since the three numbers are equally spaced, the middle number is the average of the smallest and largest: Thus , so .
Thus, the correct answer is C.
Problem 6 in other years
- 1985 AMC 8
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