Difference between revisions of "1985 OIM Problems/Problem 1"
| Line 4: | Line 4: | ||
<cmath>a^2+b^2+c^2=210</cmath> | <cmath>a^2+b^2+c^2=210</cmath> | ||
<cmath>abc=440</cmath> | <cmath>abc=440</cmath> | ||
| + | |||
| + | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
| + | |||
| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe1.htm | ||
Revision as of 12:24, 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)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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