What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and also ‘×’ and ‘÷’ are interchanged?
47 ÷ 3 – 126 × 6 + 18 = ?
Correct Answer :
144
Solution :
The correct option is 144.
To solve the equation, we need to first substitute the mathematical operators as specified in the problem statement:
1. Interchange the plus () and minus () signs.
2. Interchange the multiplication () and division () signs.
Let's write down the original equation:
After interchanging the signs as instructed, the equation becomes:
Now, we solve this interchanged equation step-by-step using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction):
Step 1: Perform Division
Divide by :
Now, substitute this back into the equation:
Step 2: Perform Multiplication
Multiply by :
Substitute this value back into the equation:
Step 3: Perform Addition
Add and :
Substitute this value back into the equation:
Step 4: Perform Subtraction
Subtract from to find the final value:
Therefore, the number that comes in place of '?' is 144.
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