Question

If $\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=$ $2:3:5$, then $x:y:z=$ ?

• A. $2:3:5$
• B. $15:10:6$
• C. $5:3;2$
• D. $6:10:15$

Answer 1

The correct option is B $15:10:6$

Given, $\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=2:3:5$
$\therefore x:y:z=\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$

L.C.M. of $2,3,5=2\times 3\times 5=30$

Thus, $x:y:z=\frac{30}{2}:\frac{30}{3}:\frac{30}{5}$

$=>x:y:z=15:10:6$