Question Number 10076 by konen last updated on 23/Jan/17

3a=4b=5c  2a+3b−c=146  ⇒c=?

Answered by ridwan balatif last updated on 23/Jan/17

3a=5c→a=(5/3)c  4b=5c→b=(5/4)c  2a+3b−c=146  2((5/3)c)+3((5/4)c)−c=146  ((73)/(12))c=146  c=2

Answered by ridwan balatif last updated on 23/Jan/17

another way  2a+3b−c=146  −−−−−−−−−×12  24a+36b−12c=146×12  8(3a+4b)+4b−12c=146×12  8(5c+5c)+5c−12c=146×12  73c=146×12  c=24

Commented bykonen last updated on 23/Jan/17

thank you♥