Question : Directions: The two given expressions on either side of the ‘=’ sign will have the same value if two numbers on either side or the same side are interchanged. Find from the given option the correct numbers to be interchanged.
4 + 6 × 2 – 27 ÷ 3 = 8 × 2 – 4 + 9 ÷ 3
Option 1: 6, 8
Option 2: 6, 2
Option 3: 4, 3
Option 4: 2, 8
Correct Answer: 6, 8
Solution :
Given:
4 + 6 × 2 – 27 ÷ 3 = 8 × 2 – 4 + 9 ÷ 3
Interchange the numbers according to the given options to make both sides of the equation equal.
Let's check each option –
First option:
6, 8
4 + 8 × 2 – 27 ÷ 3 = 6 × 2 – 4 + 9 ÷ 3
4 + 8 × 2 – 9 = 6 × 2 – 4 + 3
4 + 16 – 9 = 12 – 4 + 3
11 = 11
Second option:
6, 2
4 + 2 × 2 – 27 ÷ 3 = 8 × 6 – 4 + 9 ÷ 3
4 + 2 × 2 – 9 = 8 × 6 – 4 + 3
4 + 4 – 9 = 48 – 4 + 3
– 1
≠ 47
Third option:
4, 3
3 + 6 × 2 – 27 ÷ 4 = 8 × 2 – 3 + 9 ÷ 4
3 + 6 × 2 – 6.75 = 8 × 2 – 3 + 2.25
3 + 12 – 6.75 = 16 – 3 + 2.25
8.25
≠ 15.25
Fourth option:
2, 8
4 + 6 × 8 – 27 ÷ 3 = 2 × 2 – 4 + 9 ÷ 3
4 + 6 × 8 – 9 = 2 × 2 – 4 + 3
4 + 48 – 9 = 4 – 4 + 3
43
≠ 3
So, only the first option satisfies the equation. Hence, the first option is correct.
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