Question

Aflati numerele x si y stiind ca sunt invers proportionale cu 4 si 6 si au cmmdc 30.

Answer 1

4x=6y
2x=3y⇒x=3y/2
30|x
30|y

30|3y/2
10|y/2
y/2=10,20,30,...
y=20,40,60 , convine y=60, pt ca 30|60
atunci x=3y/2=3*60/2=90

x=90
y=60
care verifica (60,90)=30 si 4*90 =6*60=360