2005 AMC 8 Problems/Problem 18
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Problem
How many three-digit numbers are divisible by 13?
Solution
Let be any positive integer so that
is a multiple of
. For the smallest three-digit number,
and
. For the greatest three-digit number,
and
. The number
can range from
to
so there are
three-digit numbers.
Video Solution
https://youtu.be/7an5wU9Q5hk?t=393
Video Solution 2
https://youtu.be/101Rgutx1R0 Soo, DRMS, NM
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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 |
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