Question

If 'x' = '+', '+'='-,'-'='÷','÷'= 'x', which equation is correct?

• A. 10 + 2 × 2 − 4 = 10
• B. 14 ÷ 2 − 2 + 4 = 10
• C. 12 × 2 + 4 − 1 = 27
• D. 8 + 4 − 2 × 1 = 10

Answer 1

Answer:

B. 14 ÷ 2 − 2 + 4 = 10

Given:

• × = +

• + = −

• − = ÷

• ÷ = ×

Replace the symbols and evaluate each expression using normal BODMAS.

1. 10 + 2 × 2 − 4 = 10

   Becomes:
   $10 - 2 + 2 \div 4 = 8.5$
   
   Not correct.

2. 14 ÷ 2 − 2 + 4 = 10

   Becomes:
   $14 \times 2 \div 2 - 4 = 14 - 4 = 10$
   
   Correct.

3. 12 × 2 + 4 − 1 = 27

   Becomes:
   $12 + 2 - 4 \div 1 = 12 + 2 - 4 = 10$
   
   Not correct.

4. 8 + 4 − 2 × 1 = 10

   Becomes:
   $8 - 4 \div 2 + 1 = 8 - 2 + 1 = 7$
   Not correct.

Answer: 14 ÷ 2 − 2 + 4 = 10.