Question

Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83

Answer 1

Answer:  The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation:  Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

$XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.$

And,

$YZ=4c=4\times 18=72.$

Thus, the required value of the variable c is 18 and that of YZ is 72.