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1960 IMO Problems/Problem 1

Revision as of 10:44, 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 ...)
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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

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