Difference between revisions of "1985 OIM Problems/Problem 1"
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== Problem == | == Problem == | ||
Find all triples of integers <math>(a,b,c)</math> such that: | Find all triples of integers <math>(a,b,c)</math> such that: | ||
| − | <cmath>a+b+c=24\\a^2+b^2+c^2=210\\abc=440</cmath> | + | <cmath>a+b+c=24\\ a^2+b^2+c^2=210\\ abc=440</cmath> |
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 11:26, 13 December 2023
Problem
Find all triples of integers 
such that:
![\[a+b+c=24\\ a^2+b^2+c^2=210\\ abc=440\]](http://latex.artofproblemsolving.com/6/8/b/68bcc6011f90fc69d72928610252cf5a5a55fde5.png)
Solution
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