Question

Numerele naturale a si b sunt direct proportionale cu 2 si 5.Daca 3a+b=44,atunci calculati valoarea nr.5a-b.
Dar ve rog toti pasi

Answer 1

$a;b \ \ \ \ d.p \\\\ 2;5 \\\\ \frac{a}{2}=\frac{b}{5}=k \\\\ a=2k \\ b=5k \\\\ 3a+b=44 \\\\ 3*2k+5k=44 6k+5k=44 \\\\ 11k=44 \\\\ \boxed{k=4} \\\\ a=2*4 \to \boxed{\boxed{a=8}} \\\\ b=5*4 \to \boxed{\boxed{b=20}} \\\\\\ 5a-b=5*8-20= \\\\ =40-20= \\\\ \boxed{\boxed{\boxed{20}}}$