If ‘A’ stands for ‘÷’ , ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–‘, what will come in place of the question mark in the following equation?
8 B 9 C 49 A 7 D 25 = ?
Correct Answer :
54
Solution :
To solve the given equation, we first need to substitute the letters with their corresponding mathematical operators as defined below:
- A stands for division (÷)
- B stands for multiplication (×)
- C stands for addition (+)
- D stands for subtraction (-)
The given equation is:
8 B 9 C 49 A 7 D 25 = ?
By substituting the operators, the equation becomes:
Now, we apply the order of operations rule (BODMAS / PEMDAS), which states that division and multiplication must be performed before addition and subtraction.
Step 1: Perform Division (A)
First, calculate the division part: .
Substituting this back into the equation gives:
Step 2: Perform Multiplication (B)
Next, calculate the multiplication part: .
Substituting this back into the equation gives:
Step 3: Perform Addition (C)
Now, perform the addition: .
The equation now becomes:
Step 4: Perform Subtraction (D)
Finally, calculate the subtraction: .
Therefore, the value that will come in place of the question mark is 54.
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