2026 AMC 8 Problem 14
Attempt Problem 14 of the 2026 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 2026 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
Jami picked three equally spaced integer numbers on the number line. The sum of the first and the second numbers is while the sum of the second and third numbers is What is the sum of all three numbers?
Answer: B
Small hint:
Let the three numbers be
Big hint:
The two given sums differ by , so
Video solution:
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Written solution:
Let the three equally spaced numbers be , , and . The given sums are and . Adding gives , so . The total of the three numbers is .
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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- 1991 AMC 8
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