2024 AMC 12A Problem 3
Attempt Problem 3 of the 2024 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 2024 AMC 12A solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
The number is written as the sum of not necessarily distinct two-digit numbers. What is the least number of two-digit numbers needed to write this sum?
Answer: B
Small hint:
The largest two-digit number is so many numbers are needed
Big hint:
which falls short; can numbers reach exactly
Solution:
Each number is at most so numbers sum to at most Since at least numbers are required. With we can use twenty s and one : Thus, the correct answer is B.
Problem 3 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
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- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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- 1958 AMC 12
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