Difference between revisions of "2013 AIME I Problems/Problem 2"

(Created page with " == Problem 2 == Find the number of five-digit positive integers, <math>n</math>, that satisfy the following conditions: <UL> (a) the number <math>n</math> is divisible by <math...")
 
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== Problem 2 ==
 
== Problem 2 ==
 
Find the number of five-digit positive integers, <math>n</math>, that satisfy the following conditions:
 
Find the number of five-digit positive integers, <math>n</math>, that satisfy the following conditions:

Revision as of 17:17, 15 March 2013

Problem 2

Find the number of five-digit positive integers, $n$, that satisfy the following conditions:

    (a) the number $n$ is divisible by $5,$
    (b) the first and last digits of $n$ are equal, and
    (c) the sum of the digits of $n$ is divisible by $5.$


Solution

(solution)

See also

2013 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions
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