Which transformed equation is correct? Mapping: “+” = ×, “−” = ÷, “×” = +, “÷” = −

Difficulty: Medium

Correct Answer: 18 + 6 - 4 x 2 ÷ 3 = 26

Explanation:


Introduction / Context:
Each operator in the printed equation stands for a different actual operation. Determine which full equation remains true once all symbols are remapped and then evaluated with standard precedence.


Given Data / Assumptions:
Mapping: + → ×, − → ÷, × → +, ÷ → −.


Concept / Approach:
Remap an option and evaluate carefully. If LHS equals RHS, that option is correct.


Step-by-Step Solution (Option B):

Original: 18 + 6 − 4 × 2 ÷ 3 = 26.After mapping: 18 × 6 ÷ 4 + 2 − 3.Compute ×/÷: 18 × 6 = 108; 108 ÷ 4 = 27.Then +/−: 27 + 2 − 3 = 26 → matches RHS.


Verification / Alternative check:
Checking the other options shows mismatches (e.g., Option A maps to 21, not 22).


Why Other Options Are Wrong:
After mapping, their left sides do not equal the right sides.


Common Pitfalls:

  • Changing precedence according to the original symbols instead of the mapped operations.


Final Answer:
18 + 6 - 4 x 2 ÷ 3 = 26

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