# Proving Ratios And Proportions

Help me solve this problem! I have tried it many times but nothing appeared. This is the question: If a:b=c:d=e:f, prove that each is equal to (a+c-e):(b+d-f).

Let $$\frac ab=\frac cd=\frac ef=k$$
$\implies Xa+Yc+Ze=k(Xb+Yd+Zd)$
• @WilsonRoyceOngKing, Here $$X=Y=1, Z=-1$$ – lab bhattacharjee Oct 16 '14 at 11:16