Difference between revisions of "1985 OIM Problems/Problem 1"
(→Problem) |
|||
| Line 1: | Line 1: | ||
== 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 | + | <cmath>a+b+c=24</cmath> |
| + | <cmath>a^2+b^2+c^2=210</cmath> | ||
| + | <cmath>abc=440</cmath> | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 11:27, 13 December 2023
Problem
Find all triples of integers 
such that:
![\[a+b+c=24\]](http://latex.artofproblemsolving.com/5/3/4/5344af63c0d9cbb06f5387651af31a92862ad7f8.png)
![\[a^2+b^2+c^2=210\]](http://latex.artofproblemsolving.com/b/0/e/b0e6a5ee218d88785f66c9b92b5f3029bb6a1852.png)
![\[abc=440\]](http://latex.artofproblemsolving.com/c/a/b/cabbb8774fef0c2cfbb07e57ff60ba7ba937c344.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
