Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1960 IMO Problems/Problem 1

Revision as of 09:44, 28 October 2007 by 1=2 (talk | contribs) (New page: ==Problem== Determine all three-digit numbers <math>N</math> having the property that <math>N</math> is divisible by 11, and <math>\dfrac{N}{11}</math> is equal to the sum of the squares ...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Determine all three-digit numbers $N$ having the property that $N$ is divisible by 11, and $\dfrac{N}{11}$ is equal to the sum of the squares of the digits of $N$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1960_IMO_Problems/Problem_1&oldid=18988"