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
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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