Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct?
× and +, 6 and 4
Option 1: 3 × 9 – 4 ÷ 2 + 6 = 8
Option 2: 8 × 6 + 4 ÷ 2 – 5 = –5
Option 3: 8 – 3 × 6 + 4 ÷ 1 = 18
Option 4: 7 × 6 – 4 + 9 ÷ 3 = –7
Correct Answer: 7 × 6 – 4 + 9 ÷ 3 = –7
Solution :
Given:
× and +, 6 and 4
Let's check the given options –
First option:
3 × 9 – 4 ÷ 2 + 6 = 8
On interchanging the signs and numbers, we get –
3 + 9 – 6 ÷ 2 × 4 = 8
Solving the L.H.S. of the equation –
= 3 + 9 – 6 ÷ 2 × 4
= 3 + 9 – 3 × 4
= 3 + 9 – 12
= 12 – 12
= 0 ≠ 8
Second option:
8 × 6 + 4 ÷ 2 – 5 = –5
On interchanging the signs and numbers, we get –
8 + 4 × 6 ÷ 2 – 5 = –5
Solving the L.H.S. of the equation –
= 8 + 4 × 6 ÷ 2 – 5
= 8 + 4 × 3 – 5
= 8 + 12 – 5
= 20 – 5
= 15 ≠ –5
Third option:
8 – 3 × 6 + 4 ÷ 1 = 18
On interchanging the signs and numbers, we get –
8 – 3 + 4 × 6 ÷ 1 = 18
Solving the L.H.S. of the equation –
= 8 – 3 + 4 × 6 ÷ 1
= 8 – 3 + 4 × 6
= 8 – 3 + 24
= 32 – 3
= 29 ≠ 18
Fourth option:
7 × 6 – 4 + 9 ÷ 3 = –7
On interchanging the signs and numbers, we get –
7 + 4 – 6 × 9 ÷ 3 = –7
Solving the L.H.S. of the equation –
= 7 + 4 – 6 × 9 ÷ 3
= 7 + 4 – 6 × 3
= 7 + 4 – 18
= 11 – 18
= –7
So, from the above, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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