Question : Directions: Which two numbers should be interchanged to make the given equation correct? 96 ÷ 3 – 24 + 16 × 8 = 36
Option 1: 8 and 3
Option 2: 24 and 3
Option 3: 96 and 24
Option 4: 8 and 16
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Correct Answer: 8 and 3
Solution : Given: 96 ÷ 3 – 24 + 16 × 8 = 36
Interchange the given numbers according to the options one by one in the given equation. First option: 8 and 3 Solving the L.H.S. of the equation – = 96 ÷ 8 – 24 + 16 × 3 = 12 – 24 + 48 = 36 = R.H.S. Second option: 24 and 3 Solving the L.H.S. of the equation – = 96 ÷ 24 – 3 + 16 × 8 = 4 – 3 + 128 = 129 ≠ 36 Third option: 96 and 24 Solving the L.H.S. of the equation – = 24 ÷ 3 – 96 + 16 × 8 = 8 – 96 + 128 = 40 ≠ 36 Fourth option: 8 and 16 Solving the L.H.S. of the equation – = 96 ÷ 3 – 24 + 8 × 16 = 32 – 24 + 128 = 136 ≠ 36
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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