Question

Determinati numerele a,b,c stiind ca sunt direct proportionale cu numerele 6,8 si 10 si ca 2a+b+c=15.

Answer 1

2a+b+c=15
{a,b,c}dp{6,8,10}
a/6=b/8=c/10=k
a/6=k⇒   a=6k
b/8=k⇒   b=8k
c/10=k⇒ c=10k
12k+8k+10k=15
30k=15
k=15/30=simplificam=1/2
a=6k⇒a=6/2=3
b=8k⇒b=8/2=4
c=10k⇒c=10/2=5
deci   2·3+4+5=15