Question

What are the two signs to be interchanged for making the following equation correct ?

$\left[ \left\{ (44 \mathbf{-} 36) \mathbf{+} (4 \times 4) \right\} \div (1 \mathbf{+} 5) \right] \times 2 = 8$

• A. + , x
• B. + , ÷
• C. + , -
• D. x , ÷

Answer 1

Answer:

C. + , -

The two signs that need to be interchanged to make the equation correct are $+$ and $-$.

Substitute every $+$ with $-$ and every $-$ with $+$ in the original equation:

$\left[ \left\{ (44 \mathbf{-} 36) \mathbf{+} (4 \times 4) \right\} \div (1 \mathbf{+} 5) \right] \times 2 = 8$

Follow the BODMAS/PEMDAS rule (brackets first):

1. Solve the innermost parentheses:

   • $44 - 36 = 8$

   • $4 \times 4 = 16$

   • $1 + 5 = 6$

2. Substitute these values back into the curly brackets:

   • $\left[ \{ 8 + 16 \} \div 6 \right] \times 2$

   • $\left[ 24 \div 6 \right] \times 2$

3. Solve the square brackets:

   • $24 \div 6 = 4$

4. Perform the final multiplication:

   • $4 \times 2 = 8$

Since $8 = 8$, the equation becomes completely correct.