If '÷' denotes '+', '-' denotes '×', '×' denotes '÷', and '+' denotes '-', then evaluate the following expression:

15 ÷ 20 - 4 × 2 + 10 = ?

The correct answer is 45.

Step-by-step explanation:

According to the problem statement, the given operators are substituted as follows:

'÷' denotes '+'
'-' denotes '×'
'×' denotes '÷'
'+' denotes '-'

The original expression to evaluate is:

$15÷20-4\times 2+10$

Substituting the signs with their respective mathematical operations gives:

$15+20\times 4÷2-10$

Now, evaluate the expression following the BODMAS / PEMDAS rule (Brackets, Orders, Division/Multiplication from left to right, Addition/Subtraction from left to right):

Step 1: Division

Divide 4 by 2:

$4÷2=2$

The expression becomes:

$15+20\times 2-10$

Step 2: Multiplication

Multiply 20 by 2:

$20\times 2=40$

The expression becomes:

$15+40-10$

Step 3: Addition

Add 15 and 40:

$15+40=55$

The expression becomes:

$55-10$

Step 4: Subtraction

Subtract 10 from 55:

$55-10=45$

Therefore, the evaluated value of the expression is 45.