2009 AMC 8 Problem 24
Attempt Problem 24 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
24.
The letters and all represent different digits. If and what digit does represent?
Answer: E
Small hint:
Use the ones column of the addition first.
Big hint:
The subtraction forces a borrowing relation involving
Solution:
From the ones column of the addition, ends in so
In the subtraction we now have The ones column requires a borrow, so giving
Then so In the addition, so
Thus, E is the correct answer.
Problem 24 in other years
- 1985 AMC 8
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