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Suma nr a, b, c este 1000.Aflati nr a, b, c daca 2/a, 6/b, 12/c

Răspuns :

2/a=k => a=2k
6/b=k => b=6k
12/c=k =>c=12k
a+b+c=1000
2k+6k+10k=1000
20k=1000 => k=1000/20 => k=50
a=2*50
a=100
b=6*50
b=300
c=12*50
c=600
a+b+c=1000
100+300+600=1000
1000=1000