Question : Directions: The two given expressions on either side of the ‘=’ sign will have the same value if two terms on either side or the same side are interchanged. Find from the given option the correct terms to be interchanged.
5 × 2 + 8 ÷ 2 – 1 = 9 – 6 ÷ 3 + 6 × 3
Option 1: 8, 9
Option 2: 1, 9
Option 3: 5, 9
Option 4: 2, 6
Correct Answer: 5, 9
Solution :
Given:
5 × 2 + 8 ÷ 2 – 1 = 9 – 6 ÷ 3 + 6 × 3
Interchanging the numbers according to the given options, to make both sides equal.
Let's check each option –
First option:
8, 9
5 × 2 + 9 ÷ 2 – 1 = 8 – 6 ÷ 3 + 6 × 3
5 × 2 + 4.5 – 1 = 8 – 2 + 6 × 3
10 + 4.5 – 1 = 8 – 2 + 18
13.5
≠
24
Second option:
1, 9
5 × 2 + 8 ÷ 2 – 9 = 1 – 6 ÷ 3 + 6 × 3
5 × 2 + 4 – 9 = 1 – 2 + 6 × 3
10 + 4 – 9 = 1 – 2 + 18
5
≠
17
Third option:
5, 9
9 × 2 + 8 ÷ 2 – 1 = 5 – 6 ÷ 3 + 6 × 3
9 × 2 + 4 –1 = 5 – 2 + 6 × 3
18 + 4 –1 = 5 – 2 + 18
21 = 21
Fourth option:
2, 6
5 × 6 + 8 ÷ 6 – 1 = 9 – 2 ÷ 3 + 2 × 3
5 × 6 + 1.3 – 1 = 9 –.0.66 + 2 × 3
30 + 1.3 – 1 = 9 –.0.66 + 6
30.3
≠
14.4
So, only the third option satisfies the equation. Hence, the third option is correct.
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