Difference between revisions of "1985 OIM Problems/Problem 1"
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
| + | 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> | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 12:26, 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/d/5/4/d54e358538d52e5df5ae0aa6a8e5ff250a1bbc74.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
