2001 AMC 8 Problem 2

Attempt Problem 2 of the 2001 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 2001 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

I’m thinking of two whole numbers. Their product is 2424 and their sum is 11.11. What is the larger number?
33
44
66
88
1212
Answer: D
Concepts:factorsystematic listing
Small hint:
List the factor pairs of 2424
Big hint:
Find the pair whose sum is 1111
Solution:
The factor pairs of 2424 are (1,24),(1,24), (2,12),(2,12), (3,8),(3,8), and (4,6)(4,6).
The only pair with sum 1111 is (3,8)(3,8), so the larger number is 88.
Thus, D is the correct answer.
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