Question

Aflati trei numere ca suma lor este 90 si ca ele sunt direct proportionale cu 2,3 si 4...

Answer 1

a=2k             2k+3k+4k =90        a=20
b=3k                 9k=90                b=30
c=4k                  k=10                 c=40

Answer 2

$a+b+c=90 \\\\ a;b;c \ \ \ \ d.p. \\ 2;3;4 \\\\ \frac{a}{2}=\frac{b}{3}=\frac{c}{4}= k \\\\ a=2k \\ b=3k\\ c=4k \\\\ 2k+3k+4k=90 \\\\ 9k=90 \ \ |:9 \\\\ \boxed{k=10} \\\\ a=2*10\to \boxed{\boxed{20}} \\\\ b=3*10\to \boxed{\boxed{30}} \\\\ c=4*10\to \boxed{\boxed{40}}$