Question

Aflati x,y,z,t, stiind ca sunt invers proportionate cu numerele 1/2; 2/5; 0,4; 0,2 si ca suma lor este 5


VA ROG CU REZOLVARE

Answer 1

x,y,z,t i.p. 1/2; 2/5; 0,4=2/5; 0,2=1/5 => x/2=2y/5=2z/5=t/5=k
x/2=k=> x=2k
2y/5=k => 2y=5k=> y=5k/2
2z/5=k=> z=5k/2
t/5=k=> t=5k
x+y+z+t=5 => 2k+5k/2+5k/2+5k=5 => 2k + 10k/2 +5k=5=> 7k+5k=5=>12k=5=> k=12/5
x=2k => x= 2•12/5=>x=24/5
y=5k/2=> y=(5•12/5)/5 => y=12/5
z=y=5k/2=> z=12/5
t=5k=> t= 5•12/5=>t=12