Question

Find the value of x and YZ if Y is between X and Z.

X
Y
=
4
x
,

Y
Z
=
x
,

and
X
Z
=
25

Answer 1

x = 5

Explanation:

XY=4x,

YZ=x,

and

XZ=25

=============

Line XYZ

XY = 4x

YZ = x

XY + YZ = the total length of XZ, or XY + YZ = XZ

XY + YZ = 4x + x or 5x [Substituting the values for the line segments]

XZ = 5x

and since we know that XZ = 25

We can say 5x = 25, and, therefore, x = 5