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Aflati numerele a,b,c stiind ca a/b=2/3,b/2=c/5 si c-a=33

Răspuns :

a/2=b/3|•1/2
a/4=b/6
b/2=c/5|•1/3
b/6=c/15=a/4=k
a=4k, b=6k, c=15k
15k-4k=33
11k=33
k=3
a=12
b=18
c=45