Question

If $A:B=2:3$ and $B:C=5:4$, find $A:C$

Answer 1

$A:B=2:3$

$\Rightarrow \frac{A}{B}=\frac{2}{3}$..(i)

$B:C=5:4$

$\Rightarrow \frac{B}{C}=\frac{5}{4}$..(ii)

On multiplying (i) and (ii),

$\Rightarrow \frac{A}{B}\times \frac{B}{C}=\frac{2}{3}\times \frac{5}{4}$

$=\frac{5}{6}$

$\therefore A:C=5:6$