Question

sa se afle x,y,z stiind ca sunt inverproportionale cu numerele 0,8,0,6,0,4. x+y+z=260

Answer 1

Invers proportional inseamna: x/0.8=y/0.6=z/0.4
x=0.8y/0.6
z=0.4y/0.6
Introducem in ecuatia din enunt: 
0.8y/0.6+y+0.4y/0.6=260⇒(amplificam cu 0.6) 
⇒(0.8y+0.6y+0.4y)/0.6=260⇒1.8y=260*0.6⇒y=156/1.8⇒y=86.67
x=0.8*86.68/0.6=115.56
z=0.4*86.67/0.6=57.78

Refacem egalitatea initiala: 115.56+86.67+57.78=260⇒260=260 adevarat