Question : Directions: In the following question, correct the given equation by interchanging two numbers.
8 × 3 ÷ 4 + 9 – 5 = 16
Option 1: 3 and 4
Option 2: 4 and 8
Option 3: 5 and 3
Option 4: 5 and 9
Correct Answer: 5 and 3
Solution :
Given:
8 × 3 ÷ 4 + 9 – 5 = 16
Let's check the options –
First option:
3 and 4
⇒ 8 × 4 ÷ 3 + 9 – 5 = 16
Solving the L.H.S. of the equation –
= 8 × 4 ÷ 3 + 9 – 5
= 8 × 1.33 + 9 – 5
= 10.64 + 9 – 5
= 14.64 ≠ 16
Second option:
4 and 8
⇒ 4 × 3 ÷ 8 + 9 – 5 = 16
Solving the L.H.S. of the equation –
= 4 × 3 ÷ 8 + 9 – 5
= 4 × 0.375 + 9 – 5
= 1.5 + 9 – 5
= 10.5 – 5
= 5.5 ≠ 16
Third option:
5 and 3
⇒ 8 × 5 ÷ 4 + 9 – 3 = 16
Solving the L.H.S. of the equation –
= 8 × 5 ÷ 4 + 9 – 3
= 8 × 1.25 + 9 – 3
= 10 + 9 – 3
= 19 – 3
= 16
Fourth option:
5 and 9
⇒ 8 × 3 ÷ 4 + 5 – 9 = 16
Solving the L.H.S. of the equation –
= 8 × 3 ÷ 4 + 5 – 9
= 8 × 0.75 + 5 – 9
= 6 + 5 – 9
= 11 – 9
= 2 ≠ 16
Only the third option satisfies the given equation. Hence, the third option is correct.
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