2006 AMC 8 Problems/Problem 24
Contents
Problem
In the multiplication problem below ,
,
,
are different digits. What is
?
Video Solution by OmegaLearn
https://youtu.be/7an5wU9Q5hk?t=3080
Video Solution
https://youtu.be/sd4XopW76ps -Happytwin
https://www.youtube.com/channel/UCUf37EvvIHugF9gPiJ1yRzQ
https://www.youtube.com/watch?v=Y4DXkhYthhs ~David
Solution
, so
. Therefore,
and
, so
.
Solution 2
Method 1: Test
Method 2: Bash it out to time
,
And , thus the answer is
Solution 3
See Also
2006 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.