Question Details

If the signs ‘+’ and ‘÷’ are interchanged, then which of the following equations can be correctly balanced?

Options

A

12 + 4 − 8 ÷ 3 = 11

B

24 − 12 ÷ 6 + 3 = 20

C

16 + 4 × 8 ÷ 3 = 45

D

22 + 11 × 8 ÷ 3 = 19

Show Answer

Correct Answer :

Option D

22 + 11 × 8 ÷ 3 = 19

22 + 11 × 8 ÷ 3 = 19

Solution :

To determine which equation is correctly balanced when the signs '+' and '÷' are interchanged, we apply the interchange to the given correct option:

22+11×8÷3=19

Interchanging the signs '+' and '÷' gives the following new equation:

22÷11×8+3=19

Now, we evaluate the Left Hand Side (LHS) of this equation step-by-step using the BODMAS rule (Division first, then Multiplication, and finally Addition):

Step 1: Perform the division operation (22÷11).
22÷11=2
The equation becomes:
2×8+3

Step 2: Perform the multiplication operation (2×8).
2×8=16
The equation becomes:
16+3

Step 3: Perform the addition operation (16+3).
16+3=19

Since the calculated LHS (19) is equal to the Right Hand Side (RHS) of the equation (19), the equation is correctly balanced.

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