1988 AMC 8 Problem 14
Attempt Problem 14 of the 1988 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 1988 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
If and are whole numbers and the largest possible value of is
Answer: E
Small hint:
List the factor pairs of
Big hint:
The sum is largest when the two factors are as far apart as possible
Solution:
The factor pairs of are and
The sum is largest for the most spread-out pair,
Thus, the correct answer is E .
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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