2008 AMC 8 Problem 22
Attempt Problem 22 of the 2008 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 2008 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
For how many positive integer values of are both and three-digit whole numbers?
Answer: A
Small hint:
Let . Then and .
Big hint:
Both and must be three-digit whole numbers.
Solution:
Let . Then , so .
Both and must be three-digit whole numbers. Thus and , so .
There are integer values of , and each gives one positive integer value of .
Thus, A is the correct answer.
Problem 22 in other years
- 1985 AMC 8
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