Which two numbers should be interchanged to make the given equation correct?
36 × 81 ÷ 9 – (88 ÷ 4) + 14 + (22 + 7) = 169
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 36 and 14
| Understanding |
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Given equation: 36 × 81 ÷ 9 – (88 ÷ 4) + 14 + (22 + 7) = 169 Let's see all the options: Option 1: Interchange 36 and 14 14 × 81 ÷ 9 - (88 ÷ 4) + 36 + (22 + 7) = 169 14 × 9 - 22 + 36 + 29 = 169 126 - 22 + 65 = 169 191 - 22 = 169 169 = 169 Option 2: Interchange 81 and 36 81 × 36 ÷ 9 - (88 ÷ 4) + 14 + (22 + 7) = 169 81 × 4 - 22 + 14 + 29 = 169 324 - 22 + 43 = 169 367 - 22 = 169 345 ≠ 169 Option 3: Interchange 9 and 36 9 × 81 ÷ 36 - (88 ÷ 4) + 14 + (22 + 7) = 169 9 × 2.25 - 22 + 14 + 29 = 169 20.25 - 22 + 43 = 169 63.25 - 22 = 169 41.25 ≠ 169 Option 4: Interchange 14 and 22 36 × 81 ÷ 9 - (88 ÷ 4) + 22 + (14 + 7) = 169 36 × 9 - 22 + 22 + 21 = 169 324 + 21 = 169 (- 22 and + 22 becomes 0) 345 ≠ 169 Hence, we find that Option 1 is the correct answer. |