Question : Directions: After interchanging which two numbers, the value of the given equation will be 30.
8 × 1 – 9 ÷ 3 + 4
Option 1: 4 and 3
Option 2: 1 and 4
Option 3: 3 and 9
Option 4: 8 and 4
Correct Answer: 1 and 4
Solution :
Given:
8 × 1 – 9 ÷ 3 + 4 = 30
Replace the given numbers according to the options one by one with the original numbers in the given equation.
First option:
4 and 3
Solving the L.H.S. of the equation –
= 8 × 1 – 9 ÷ 4 + 3
= 8 × 1 – 2.25 + 3
= 8 – 2.25 + 3
= 8.75 ≠ 30
Second option:
1 and 4
Solving the L.H.S. of the equation –
= 8 × 4 – 9 ÷ 3 + 1
= 8 × 4 – 3 + 1
= 32 – 3 + 1
= 30 = R.H.S.
Third option:
3 and 9
Solving the L.H.S. of the equation –
= 8 × 1 – 3 ÷ 9 + 4
= 8 × 1 – 0.34 + 4
= 8 – 0.34 + 4
= 11.67 ≠ 30
Fourth option:
8 and 4
Solving the L.H.S. of the equation –
= 4 × 1 – 9 ÷ 3 + 8
= 4 × 1 – 3 + 8
= 4 – 3 + 8
= 9 ≠ 30
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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