Question

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

Answer 1

Y is between X and Z

The value of d=2 and the value of YZ = 16

Given :

Y is between X and Z.

XY = 11d, YZ = 9d – 2, XZ = 5d + 28

We need to find the value of d

we know that Y is between X  and Z

So, $XZ=XY+YZ$

Replace the given expression and solve for d

$XZ=XY+YZ\\5d+28=11d+9d-2\\Combine \; like \; terms\\5d+28=20d-2\\Subtract \; 5d\\28=15d-2\\\\Add \; 2\\30=15d\\Divide \; by \; 15\\d=2$

The value of d=2

Now we find out YZ using d=2

$YZ=9d-2\\YZ=9(2)-2\\YZ=16$

The value of YZ is 16

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