Question

If x:y=2:7 and y:z=9:11,find x:y:z

Answer 1

first find the l.c.m of y =7,9 so to common y in both the ratios , we got 63 then
x/y= 2/7×9/9=18/63
y/z=9/11×7/7=63/77
then here we can take one y as a common
so the ans.
x:y:z= 18:63:77

Answer 2

Answer:

$x:y:z=18:63:77$

Step-by-step explanation:

Given that if x:y=2:7 and y:z=9:11

we have to find x:y:z

As, x:y=2:7

$\frac{x}{y}=\frac{2}{7}$

$y=\frac{7}{2}x$

and y:z=9:11 i.e

$\frac{y}{z}=\frac{9}{11}$

$z=\frac{11}{9}y=\frac{11}{9}\times\frac{7}{2}x=\frac{77}{18}x$

Therefore,

$x:y:z=x:\frac{7}{2}x:\frac{77}{18}x$

$x:y:z=18:63:77$