Question

If $A:B=5:8$ and $B:C=12:7$ find $A:B:C$.

Answer 1

$\begin{array}{c}\frac{A}{B}=\frac{5}{8}\\ 8A=5B......\left(i\right)\\ 7B=12C\\ 12C=7B.....\left(ii\right)\\ Dividinge{q}^n\left(i\right)and\left(ii\right)\\ \frac{A}{12C}=\frac{5}{7}\\ \frac{2A}{3C}=\frac{5}{7}\\ \frac{A}{C}=\frac{15}{14}\end{array}$