Question

Aflati numerele x si y , stiind ca sunt invers proportionale cu 3 si 2,(4) si ca media lor aritmetica este 263 .
Va implor

Answer 1

Răspuns:

3x=2,(4)y. 2,(4)=(24-2)/9=22/9

3x=22y/9

y=27x/22

(x+y)/2=263

x+y=263•2

x+y=526

x+27x/22=526

49x=11573

x=11573/49

y=27/22•11572/49=14202/49

verificare

3•11572/49=34716/49

2,(4)•14202/49=22/9

•14202/49=34716/49

[1572/49+14202/49]/2=25774/98=263