Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 8
Option 1: 5 × 2 – 8 + 9 ÷ 1 = 20
Option 2: 8 + 5 × 4 – 9 ÷ 3 = 30
Option 3: 5 × 7 + 8 – 3 ÷ 1 = 55
Option 4: 8 – 5 × 2 + 6 ÷ 2 = –9
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Correct Answer: 5 × 2 – 8 + 9 ÷ 1 = 20
Solution : Given: Interchange the numbers 5 and 8.
Replace the given numbers in the options with the original numbers in the given equation. First option: 5 × 2 – 8 + 9 ÷ 1 = 20 ⇒ 8 × 2 – 5 + 9 ÷ 1 = 16 – 5 + 9 = 20 Second option: 8 + 5 × 4 – 9 ÷ 3 = 30 ⇒ 5 + 8 × 4 – 9 ÷ 3 = 5 + 32 – 3 = 34 ≠ 30 Third option: 5 × 7 + 8 – 3 ÷ 1 = 55 ⇒ 8 × 7 + 5 – 3 ÷ 1 = 56 + 5 – 3 = 58 ≠ 55 Fourth option: 8 – 5 × 2 + 6 ÷ 2 = –9 ⇒ 5 – 8 × 2 + 6 ÷ 2 = 5 – 16 + 3 = –8 ≠ –9
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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