If adding 5 to a certain number and multiplying by 3 gives a result of 27, what is the original number?

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Multiple Choice

If adding 5 to a certain number and multiplying by 3 gives a result of 27, what is the original number?

Explanation:
To find the original number, we need to set up an equation based on the information given. If we let the original number be represented by \( x \), the problem states that when you add 5 to this number and then multiply the result by 3, you get 27. This can be expressed mathematically as: \[ 3(x + 5) = 27 \] Next, we will solve this equation step by step. First, we can simplify the equation by dividing both sides by 3: \[ x + 5 = \frac{27}{3} \] This simplifies to: \[ x + 5 = 9 \] Now, to isolate \( x \), we subtract 5 from both sides: \[ x = 9 - 5 \] This leads us to: \[ x = 4 \] Therefore, the original number is 4. This calculation confirms that when 5 is added to 4, the result is 9, and multiplying 9 by 3 yields 27, showing that the original number is indeed correct. The other numbers would not satisfy the equation set by the problem.

To find the original number, we need to set up an equation based on the information given. If we let the original number be represented by ( x ), the problem states that when you add 5 to this number and then multiply the result by 3, you get 27. This can be expressed mathematically as:

[ 3(x + 5) = 27 ]

Next, we will solve this equation step by step. First, we can simplify the equation by dividing both sides by 3:

[ x + 5 = \frac{27}{3} ]

This simplifies to:

[ x + 5 = 9 ]

Now, to isolate ( x ), we subtract 5 from both sides:

[ x = 9 - 5 ]

This leads us to:

[ x = 4 ]

Therefore, the original number is 4. This calculation confirms that when 5 is added to 4, the result is 9, and multiplying 9 by 3 yields 27, showing that the original number is indeed correct. The other numbers would not satisfy the equation set by the problem.

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