Question : Directions: By interchanging the given two numbers which of the following equations will be correct?
8 and 4
Option 1: 4 + 8 × 2 – 3 = 20
Option 2: 4 ÷ 2 + 8 × 3 = 16
Option 3: 4 + 3 × 8 – 2 = 21
Option 4: 8 – 4 + 6 = 9
Correct Answer: 4 ÷ 2 + 8 × 3 = 16
Solution :
Given:
8 and 4
Replace the given numbers in the options one by one with the original numbers in the given equations.
First option:
4 + 8 × 2 – 3 = 20
Solving the L.H.S. of the equation –
⇒ 8 + 4 × 2 – 3
= 8 + 8 – 3
= 13 ≠ 20
Second option:
4 ÷ 2 + 8 × 3 = 16
Solving the L.H.S. of the equation –
⇒ 8 ÷ 2 + 4 × 3
= 4 + 12
= 16 = R.H.S.
Third option:
4 + 3 × 8 – 2 = 21
Solving the L.H.S. of the equation –
⇒ 8 + 3 × 4 – 2
= 8 + 12 – 2
= 18 ≠ 21
Fourth option:
8 – 4 + 6 = 9
Solving the L.H.S. of the equation –
⇒ 4 – 8 + 6
= 2 ≠ 9
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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