Question : Directions: Which two mathematical operations should be interchanged to balance the following equation? 19 – 39 × 3 + 25 ÷ 5 = 131
Option 1: + and ÷
Option 2: ÷ and ×
Option 3: – and ÷
Option 4: + and ×
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Correct Answer: ÷ and ×
Solution : Given: 19 – 39 × 3 + 25 ÷ 5 = 131
Let's check the options – First option: + and ÷ = 19 – 39 × 3 ÷ 25 + 5 = 19 – 39 × 0.12 + 5 = 19 – 4.68 + 5 = 24 – 4.68 = 19.32 ≠ 131 Second option: ÷ and × = 19 – 39 ÷ 3 + 25 × 5 = 19 – 13 + 25 × 5 = 19 – 13 + 125 = 144 – 13 = 131 Third option: – and ÷ = 19 ÷ 39 × 3 + 25 – 5 = 0.49 × 3 + 25 – 5 = 1.47 + 25 – 5 = 26.47 – 5 = 21.47 ≠ 131 Fourth option: + and × = 19 – 39 + 3 × 25 ÷ 5 = 19 – 39 + 3 × 5 = 19 – 39 + 15 = 34 – 39 = –5 ≠ 131
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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