Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct?
× and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
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Correct Answer: 7 × 6 ÷ 3 + 9 – 8 = 17
Solution :
Let's check the options –
First option:
7 × 6 ÷ 3 + 9 – 8 = 17
On interchanging the given numbers and symbols, the equation becomes –
= 7 + 9 ÷ 3 × 6 – 8
= 7 + 18 – 8
= 17
Second option:
6 × 8 – 9 ÷ 3 + 5 = 50
On interchanging the given numbers and symbols, the equation becomes –
= 9 + 8 – 6 ÷ 3 × 5
= 9 + 8 – 10
= 17 – 10
= 7 ≠ 50
Third option:
7 + 6 × 4 ÷ 9 – 8 = 8
On interchanging the given numbers and symbols, the equation becomes –
= 7 × 9 + 4 ÷ 6 – 8
= 63 + 0.66 – 8
= 63.66 – 8
= 55.66 ≠ 8
Fourth option:
9 × 7 + 4 ÷ 1 – 6 = 7
On interchanging the given numbers and symbols, the equation becomes –
= 6 + 7 × 4 ÷ 1 – 9
= 6 + 7 × 4 – 9
= 6 + 28 – 9
= 25 ≠ 7
Hence, the first option is correct.
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