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Aflati x,y,z care sunt invers proportionale cu 2,3,4 iar x-z=25

Răspuns :

x·2=y·3=z·4=k
⇒x·2=k⇒x=k/2;
⇒y·3=k⇒y=k/3;
⇒z·4=k⇒z=k/4;
⇒x-z=25
⇒k/2-k/4=25
⇒2k/4-k/4=25
⇒k/4=25⇒k=100;
⇒x=100/2⇒x=50;
⇒y=100/3⇒y=33,[3];
⇒z=100/4⇒z=25;