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Impartiti nr 106 in parti direct proportionale cu nr 0,(3); 2; 1,2.

Răspuns :

a+b+c=106
3a=[tex] \frac{b}{2} = \frac{5c}{6} =k[/tex]
a=[tex] \frac{k}{3} [/tex]
b=2k
c=[tex] \frac{6k}{5} [/tex]
[tex] \frac{k}{3} +2k+ \frac{6k}{5} =106 [/tex]
5k+30k+18k=1590
53k=1590
k=30
a=10
b=60
c=36