2004 AMC 8 Problem 8
Attempt Problem 8 of the 2004 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 2004 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
Find the number of two-digit positive integers whose digits total
Answer: B
Small hint:
The tens digit cannot be
Big hint:
Once the tens digit is chosen, the ones digit is forced.
Solution:
Note that the tens digit can range from to and this digit determines the units digit.
Therefore, there are numbers.
Thus, B is the correct answer.
Problem 8 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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