Question : Directions: The following equation is incorrect. Which two signs should be interchanged to correct the equation? 15 × 18 – 6 ÷ 20 + 4 = 29
Option 1: + and ×
Option 2: ÷ and –
Option 3: + and ÷
Option 4: – and +
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Correct Answer: ÷ and –
Solution : Given: 15 × 18 – 6 ÷ 20 + 4 = 29
Replace the signs given in the options one by one with those in the given equation. First option: + and × = 15 + 18 – 6 ÷ 20 × 4 = 15 + 18 – 0.3 × 4 = 15 + 18 – 1.2 = 31.8 ≠ 29 Second option: ÷ and – = 15 × 18 ÷ 6 – 20 + 4 = 15 × 3 – 20 + 4 = 45 – 20 + 4 = 29 Third option: + and ÷ = 15 × 18 – 6 + 20 ÷ 4 = 15 × 18 – 6 + 5 = 270 – 6 + 5 = 269 ≠ 29 Fourth option: – and + = 15 × 18 + 6 ÷ 20 – 4 = 15 × 18 + 0.3 – 4 = 270 + 0.3 – 4 = 270.3 – 4 = 266.3 ≠ 29
Only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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