Question

If $a,b,c$ are three numbers such that $a:b=3:4$ and $b:c=8:9$, then $a:c$ is equal to

• A. $1:3$
• B. $2:3$
• C. $3:2$
• D. $1:2$

Answer 1

Answer: (B)

$2:3$

$\frac{a}{b}=\frac{3}{4},\frac{b}{c}=\frac{8}{9}\Rightarrow \frac{a}{c}=\frac{a}{b}\times \frac{b}{c}$

$=\frac{3}{4}\times \frac{8}{9}=\frac{2}{3}\Rightarrow a:c=2:3$.