Difference between revisions of "1960 IMO Problems/Problem 1"

(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 ...)
 
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==See Also==
 
==See Also==
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{{IMO box|year=1960|before=First Question|num-a=2}}

Revision as of 10:46, 28 October 2007

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

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See Also

1960 IMO (Problems) • Resources
Preceded by
First Question
1 2 3 4 5 6 Followed by
Problem 2
All IMO Problems and Solutions