1999 AMC 8 Problem 3
Attempt Problem 3 of the 1999 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 1999 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Which triplet of numbers has a sum NOT equal to
Small hint:
Compute the easiest-looking sums first
Big hint:
Only one listed triplet fails to total
Solution:
We have that A is the same as
B reduces to
C adds up to
D however adds to
To make sure, we check that E has a sum of
Thus, D is the correct answer.
Problem 3 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
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- 1998 AMC 8
- 2000 AMC 8
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