Question

If x:y:z=2:3:5, if x+y+z=60 then the value of z is

Answer 1

30 is the answer i think mark me the brainliest

Answer 2

Answer:

The value of z is 30.

Step-by-step explanation:

We have been given that x:y:z=2:3:5. Thus, we have

$\frac{x}{y}=\frac{2}{3}\\\\x=\frac{2}{3}y.......(1)$

$\frac{y}{z}=\frac{3}{5}\\\\y=\frac{3}{5}z$

On plugging this value in (1)

$x=\frac{2}{3}\times \frac{3}{5}z\\\\x=\frac{2}{5}z$

On plugging the values of x and y the given equation x+y+z=60

$\frac{2}{5}z+\frac{3}{5}z+z=60\\\\\frac{10z}{5}=60\\\\2z=60\\z=30$

Thus, the value of z is 30.