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aflati numerele naturale a d c stiind ca a ÷3=b÷4=c÷6 si ca abc=576

Răspuns :

a/3=b/4=c/6=k
a·b·c=576 ⇔
3k·4k·6k=576 ⇔
72k³=576 ⇒k³=8=2³⇒k=2
a=3·2=6;
b=4·2=8;
c=6·2=12;