22 B 108 A 12 C 43 D 171 = ?
Equation Solving with Symbol Substitution
The problem requires solving a mathematical equation by replacing given symbols with their corresponding mathematical operators.
The given substitutions are:
- 'A' = '÷'
- 'B' = 'x'
- 'C' = '+'
- 'D' = '-'
The equation is: \(22 B 108 A 12 C 43 D 171 = ?\)
Applying Symbol Substitutions
Substitute the symbols in the equation with the operators:
\(22 × 108 ÷ 12 + 43 - 171 = ?\)
Order of Operations (BODMAS) Calculation
To find the value of '?', we apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) from left to right.
- Division and Multiplication (from left to right):
- First, perform the multiplication: \(22 × 108 = 2376\). The equation becomes \(2376 ÷ 12 + 43 - 171 = ?\)
- Next, perform the division: \(2376 ÷ 12 = 198\). The equation becomes \(198 + 43 - 171 = ?\)
- Addition and Subtraction (from left to right):
- First, perform the addition: \(198 + 43 = 241\). The equation becomes \(241 - 171 = ?\)
- Finally, perform the subtraction: \(241 - 171 = 70\).
Therefore, the value of '?' is 70.
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