Question

determinati numerele rationale pozitive a,b,c care indeplinesc simultan conditile a) a,b,c direct proportionale cu 2,6,8 ,b ) 2a+3b+c =90​

Answer 1

Salut!

2a+3b+c=90

{a,b,c} d.p. {2,6,8}==>a/2=b/6=c/8=k==>

==>a=2k;b=6k;c=8k

inlocuim in suma

4k+18k+8k=90

30k=90

k=3

a=3x2=6

b=6x3=18

c=8x3=24

Sper ca te-am ajutat!