Question

sa se calculeze numerele naturale a,b,c stiind ca sunt direct proportionale cu numerele 2,3 respectiv 4 si are loc relatia 3a+4b+5c=114

Answer 1

{a;b;c} d.p. {2;3;4}
a/2=b/3=c/4=k
a=2k
b=3k
c=4k
Acum inlocuiesti in relatia data=>
3a+4b=5c=114
3*2k+4*3k+5*4k=114
6k+12k+20k=114
38k=114
k=3=>
a=2k=2*3=6
b=9
c=12