1997 AMC 8 Problem 2
Attempt Problem 2 of the 1997 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 1997 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
Ahn chooses a two-digit integer, subtracts it from and doubles the result. What is the largest number Ahn can get?
Answer: D
Small hint:
The smallest two-digit integer is
Big hint:
To maximize the result, subtract the smallest possible two-digit number
Solution:
To get the largest number, we would want to subtract the smallest number possible from
The smallest two-digit number is Having Ahn choose this number will give us as the final result.
Thus, D is the correct answer.
Problem 2 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
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
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