Calculate the value of the following expression:

92 - 38 + 72 ÷ 9 + (14 of 5) - 46 + 24 = ?

The correct option is 110.

To evaluate the given mathematical expression, we follow the standard order of operations known as the BODMAS rule:
1. Brackets / Of
2. Division
3. Multiplication
4. Addition
5. Subtraction

The given expression is:

$92-38+72÷9+\left(14\text{of}5\right)-46+24$

Step 1: Simplify the 'of' operation inside the bracket.
In BODMAS, 'of' signifies multiplication that takes precedence after standard brackets.

$14\text{of}5=14\times 5=70$

Substituting this back into the main expression:

$92-38+72÷9+70-46+24$

Step 2: Perform Division.
Next, perform the division operation in the expression:

$72÷9=8$

Substituting this back into the expression:

$92-38+8+70-46+24$

Step 3: Perform Addition and Subtraction.
Now, group all positive terms together and negative terms together to simplify accurately.

Sum of positive numbers:

$92+8+70+24=194$

Sum of negative numbers:

$38+46=84$

Now, subtract the total negative value from the total positive value:

$194-84=110$

Thus, the final value of the given expression is 110.