If the signs ‘+’ and ‘÷’ are interchanged, then which of the following equations can be correctly balanced?
Correct Answer :
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:
Interchanging the signs '+' and '÷' gives the following new equation:
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 ().
The equation becomes:
Step 2: Perform the multiplication operation ().
The equation becomes:
Step 3: Perform the addition operation ().
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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