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The equations have become wrong because ...

The equations have become wrong because of the wrong order of signs. Choose the correct order of signs from the four options given below so as to make the equations right. Write the alternative number of the correct option on the answer sheet against the corresponding question number-
`72+8+12=21`

A

`div + =`

B

`= div +`

C

`= + + `

D

`+ = +`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(72 + 8 + 12 = 21\) by finding the correct order of operations, we need to rearrange the signs in such a way that the equation holds true. ### Step-by-step Solution: 1. **Identify the Incorrect Equation**: The given equation is \(72 + 8 + 12 = 21\). This equation is incorrect as the left-hand side does not equal the right-hand side. 2. **Test Different Options**: We need to find the correct order of operations (addition, subtraction, multiplication, division) that can make the equation valid. We will check each option one by one. 3. **Check Option 1**: - Rearranging the equation as \(72 \div 8 + 12 = 21\). - Calculate \(72 \div 8 = 9\). - Then, \(9 + 12 = 21\). - This is correct since both sides are equal. 4. **Check Option 2**: - Rearranging the equation as \(72 = 8 \div 12 + 21\). - Calculate \(8 \div 12\) which is \(\frac{2}{3}\). - Then, \(\frac{2}{3} + 21\) does not equal 72. - This option is incorrect. 5. **Check Option 3**: - Rearranging the equation as \(72 = 12 + 8 + 21\). - Calculate \(12 + 8 + 21 = 41\). - This does not equal 72. - This option is incorrect. 6. **Check Option 4**: - Rearranging the equation as \(72 + 12 + 21\). - Calculate \(72 + 12 + 21 = 105\). - This does not equal 72. - This option is incorrect. 7. **Conclusion**: The only option that makes the equation true is Option 1, which is \(72 \div 8 + 12 = 21\). ### Final Answer: The correct option is **1**.
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