Difference between revisions of "2008 AMC 8 Problems/Problem 22"
(→Solution) |
|||
Line 13: | Line 13: | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2008|num-b=21|num-a=23}} | {{AMC8 box|year=2008|num-b=21|num-a=23}} | ||
+ | {{MAA Notice}} |
Revision as of 01:38, 5 July 2013
Problem
For how many positive integer values of are both
and
three-digit whole numbers?
Solution
If is a three digit whole number,
must be divisible by 3 and be
. If
is three digits, n must be
So it must be divisible by three and between 300 and 333. There are
such numbers, which you can find by direct counting.
See Also
2008 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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.