Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 264 + 24 × 9 ÷ 60 – 4 = 630
Option 1: 264 and 9; ÷ and −
Option 2: 264 and 9; + and –
Option 3: 4 and 24; ÷ and +
Option 4: 4 and 9; − and ×
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Correct Answer: 4 and 24; ÷ and +
Solution : Given: 264 + 24 × 9 ÷ 60 – 4 = 630
Replace the given signs and numbers in the equation one by one with the original signs in the given equation. First option: 264 and 9; ÷ and − ⇒ 9 + 24 × 264 − 60 ÷ 4 = 630 = 9 + 6336 − 15 = 6330 ≠ 630 Second option: 264 and 9; + and – ⇒ 9 – 24 × 264 ÷ 60 + 4 = 630 = 9 – 105.6 + 4 = –92.6 ≠ 630 Third option: 4 and 24; ÷ and + ⇒ 264 ÷ 4 × 9 + 60 – 24 = 630 = 594 + 60 – 24 = 630 Fourth option: 4 and 9; − and × ⇒ 264 + 24 − 4 ÷ 60 × 9 = 630 = 288 − 0.6 = 287.4 ≠ 630
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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