Read the given information carefully and answer the question that follows.

The data below provides details about two categories of staff (loaders and drivers) across three logistics hubs: Hub X, Hub Y, and Hub Z.
For Hub X – the combined total of loaders and drivers is 80.
For Hub Y – the total number of loaders is 5 more than the total number of loaders in Hub Z.
For Hub Z – the total number of loaders is 10 less than the total number of drivers.
Note – the total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y.
Total staff in Hub Z is 10 more than total staff in Hub X, and the total number of drivers across all three hubs is 110.

Find the average number of loaders in Hub X and Hub Z.

The correct answer is 50.

Let us break down the given information step-by-step to find the required average:

1. Total staff in Hub X and Hub Z:
Total staff in Hub X = 80.
Given that the total staff in Hub Z is 10 more than the total staff in Hub X:

$\text{Total staff in Hub Z}=80+10=90$

2. Loaders and Drivers in Hub Z:
Let the total number of drivers in Hub Z be D_Z and loaders be L_Z.
Since the total staff in Hub Z is 90:

$L_Z+D_Z=90$

Given that the total number of loaders in Hub Z is 10 less than the total number of drivers in Hub Z:

$D_Z-L_Z=10$

Adding these two equations together:

$2D_Z=100\Rightarrow D_Z=50$

Substituting D_Z = 50 back into the total staff equation for Hub Z gives:

$L_Z=50-10=40$

3. Loaders in Hub Y:
The total number of loaders in Hub Y is 5 more than the total number of loaders in Hub Z:

$L_Y=40+5=45$

4. Drivers and Loaders in Hub X:
The total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y:

$D_X=45-25=20$

Since the combined total of loaders and drivers in Hub X is 80:

$L_X+D_X=80$

$L_X+20=80\Rightarrow L_X=60$

5. Average number of loaders in Hub X and Hub Z:
Number of loaders in Hub X (L_X) = 60
Number of loaders in Hub Z (L_Z) = 40

$\text{Average}=\frac{60+40}{2}$

$\text{Average}=\frac{100}{2}=50$

Thus, the average number of loaders in Hub X and Hub Z is 50.