Question

Cum se afla x,y,z stiind ca sunt invers proportionale cu nr.1/2;1/4;0,2 si ca suma lor este 5?

Answer 1

{x,y,z} i.p { 1/2, 1/4, 0,2 * care este 1/5*}
x+y+z=5
x/2=y/4=z/5=k
x=2k y=4k z=5k
2k+4k+5k=5
11k=5 ->k=5/11
x=2×5/11=10/11
y=4×5/11=20/11
z=5×5/11=25/11
Verificare: (25+20+10)/11=5?
55/11=5?
5=5 deci e corect