Question

If $x:y=7:9andy:z=15:7,findx:z$

• A. 5 : 2
• B. 3 : 5
• C. 5 : 3
• D. 2 : 5

Answer 1

The correct option is C

5 : 3

Since $x:y=8:9andy:z=15:8$

$\therefore$ $\frac{x}{y}$ = $\frac{8}{9}$ and $\frac{y}{z}$ = $\frac{15}{8}$

$\therefore$ $x:z=\frac{x}{y}\times \frac{y}{z}=\frac{8}{9}\times \frac{15}{8}$

$\Rightarrow x:z=\frac{5}{3}$

Hence $x:z=5:3$