Question

Ajutor:Determinati numerele x si y ,stiind ca sunt invers proportionale cu 1/2 si 1/3 ,iar suma lor este 360.

Answer 1

x·2=y·3=k
⇒x·2=k⇒x=k/2;
⇒y·3=k⇒y=k/3;
⇒x+y=360
⇒k/2+k/3=360
⇒3k/6+2k/6=360
⇒5k/6=360
⇒5k=360·6
⇒5k=2160
⇒k=2160/5
⇒k=432;
⇒x·2=432⇒x=432/2⇒x=216;
⇒y·3=432⇒y=432/3⇒y=144;
Verificare 216+144=360;