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In each of the following questions if th...

In each of the following questions if the interchanges are made in signs and numbers, which one of the four equations would be correct?
Given interchanges: Signs: `xx` and `+` and numbers 2 and 8

A

`8 xx 2 + 9 = 19`

B

`2 xx 8 + 10 = 13`

C

`2 + 8 xx 6 = 22`

D

`8 xx 2 + 6 = 19`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to interchange the signs and numbers as specified: replace `xx` (multiplication) with `+` (addition) and replace `2` with `8` and `8` with `2`. We will evaluate each of the four options to find which one becomes correct after these interchanges. ### Step-by-Step Solution: 1. **Option 1: 8 xx 2 + 9 = 19** - Interchange: - Replace `8` with `2` - Replace `xx` (multiplication) with `+` - Replace `2` with `8` - New equation: 2 + 8 + 9 = 19 - Calculate: - 2 + 8 = 10 - 10 + 9 = 19 - Result: 19 = 19 (This option is correct) 2. **Option 2: 2 xx 8 + 10 = 13** - Interchange: - Replace `2` with `8` - Replace `xx` (multiplication) with `+` - Replace `8` with `2` - New equation: 8 + 2 + 10 = 13 - Calculate: - 8 + 2 = 10 - 10 + 10 = 20 - Result: 20 ≠ 13 (This option is incorrect) 3. **Option 3: 2 + 8 xx 6 = 22** - Interchange: - Replace `2` with `8` - Replace `+` with `xx` (multiplication) - Replace `8` with `2` - New equation: 8 xx 2 + 6 = 22 - Calculate: - 8 * 2 = 16 - 16 + 6 = 22 - Result: 22 = 22 (This option is correct) 4. **Option 4: 2 + 8 xx 4 = 10** - Interchange: - Replace `2` with `8` - Replace `+` with `xx` (multiplication) - Replace `8` with `2` - New equation: 8 xx 2 + 4 = 10 - Calculate: - 8 * 2 = 16 - 16 + 4 = 20 - Result: 20 ≠ 10 (This option is incorrect) ### Conclusion: The correct option after interchanging the signs and numbers is **Option 1** and **Option 3**.
To solve the problem, we need to interchange the signs and numbers as specified: replace `xx` (multiplication) with `+` (addition) and replace `2` with `8` and `8` with `2`. We will evaluate each of the four options to find which one becomes correct after these interchanges. ### Step-by-Step Solution: 1. **Option 1: 8 xx 2 + 9 = 19** - Interchange: - Replace `8` with `2` - Replace `xx` (multiplication) with `+` ...
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