1997 AMC 8 Problem 5
Attempt Problem 5 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).
5.
There are many two-digit multiples of but only two of the multiples have a digit sum of The sum of these two multiples of is
Answer: A
Small hint:
Keep only the multiples whose digits add to
Big hint:
List the two-digit multiples of
Solution:
Listing out all the two-digit multiples of we get We have that and are the two multiples whose digits add to
The sum of these numbers is
Thus, A is the correct answer.
Problem 5 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
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