Question

Daca a/b=6/9 si c/b=1, (3) si produsul a×b×c=192,aflati a×b+c=?

Answer 1

6b=9a⇒a=6b/9;
12b=9c⇒c=12b/9;
⇒a·b·c=192
⇒6b/9 ·b·12b/9=192
⇒6b/9 ·9b/9 ·12b/9=192
⇒[6·9·12·b³]/9³=192
⇒648·b³=139968=192·729
⇒b³=216⇒b³=6³⇒b=6;
⇒a=6·6/9
⇒a=36/9=4;
⇒c=12·6/9⇒c=72/9=8;
⇒4·6+8=24+8=32;