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determinati nr a,b,c stiind ca a/4=b/6=c/8 si 1/a+1/b+1/c=13/144

Răspuns :

a/4=b/6=c/8=K→
{a=4K=4·6=24
{b=6K=6·6=36
{c=8K=8·6=48

1/a+1/b+1/c=13/144
1/4K+1/6K+1/8K=13/144
6/24K+4/24K+3/24K=13/144
13/24K=13/144
24K=144 →K=144:24=6