Question Details

Which two signs should be interchanged to make the given equation correct?

17×4+6÷227=92

Options

A

+ and ×

B

÷ and ×

C

+ and −

D

÷ and +

Show Answer

Correct Answer :

Option C

+ and −

+ and −

Solution :

The correct option to be interchanged is + and −.

Let us verify this by interchanging the plus (+) and minus (−) signs in the given equation:

17×4+6÷227=92

After interchanging + and −, the equation becomes:
17×46÷2+27=92

Now, we simplify the Left-Hand Side (LHS) of the equation using the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction):

Step 1: Division
Perform the division operation first:
6÷2=3

Substituting this back into the expression, we get:
17×43+27

Step 2: Multiplication
Next, perform the multiplication operation:
17×4=68

Substituting this value gives:
683+27

Step 3: Addition and Subtraction
Now, perform the remaining addition and subtraction:
68+273=953=92

Since the Left-Hand Side (92) is equal to the Right-Hand Side (92), the equation is correct.
Therefore, interchanging the signs + and − makes the given equation mathematically correct.

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