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Impartiti numarul 90 in parti invers proportionale cu 2, cu 3 si cu 6
URGENT !!! 40 DE PUNCTE


Răspuns :

a/1/2=b/1/3=c/1/6=90/1/2+1/3+1/6=90/1=90
a=90/2=45
b=90/3=30
c=90/6=15
[tex](x;y;z)\;i.p\;(2;3;6)\;\;inseamna ca\;\;2x=3y=6z=...k\;\\
adica\;x=k/2\;si\;y=k/3\;si\;z=k/6
\;inlocuim\;\;x+y+z=k/2+k/3+k/6=90\\
inseamna\;ca:\;3k/6+2k/6+k/6=6*90\\
deci\;k=540:6=90\\
x=90/2=45\;;\;y=90:3=30\;si\;z=90:6=15[/tex]