Question

Gasiti trei numere x,y,z direct proportionale cu 2,5 si 3 ,astfel incat 4x-y+2z->763

Answer 1

x/2=y/5=z/3=k
⇒x/2=k⇒x=2k;
⇒y/5=k⇒y=5k;
⇒z/3=k⇒z=3k;
⇒4x-y+2z=763
⇒4·2k-5k+2·3k=763
⇒8k-5k+6k=763
⇒3k+6k=765
⇒9k=765
⇒k=85;
⇒x=2·85⇒x=170;
⇒y=5·85⇒y=425;
⇒z=3·85⇒z=255;