Question

Aflați numere x si y stiind ca sunt invers proportional cu 3 2.(4) si ca media lor aritmetică este 263

Answer 1

(x ,y) I.p (3 ; 2,(4) )
2,(4)= 2 intreg 4/9 = (2·9+4)/4=22/4
x·3=22y/9=k

x·3=k=>x=k/3
22y/9=k=>y=9k/22

(k/3+9k/22):2=263 |·2
k/3+9y/22=526 (aducem la acelasi numitor comun)
22k+27k =34716
49k=34716
k=34716:49
k=34716/49

x= 34716/49/2 = 34716/49· 1/2 =17358/49
y=9·34716/49/22=9·34716/49·1/22=9·1578/49=14.202/49