If a number is multiplied by 9 and then decreased by 27, the result is 0. What i

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Question: If a number is multiplied by 9 and then decreased by 27, the result is 0. What is the number?

Options:

Correct Answer: 3

Solution:

Let the number be x. Then, 9x - 27 = 0, so 9x = 27, and x = 3.

If a number is multiplied by 9 and then decreased by 27, the result is 0. What is the number?

If a number is multiplied by 9 and then decreased by 27, the result is 0. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, if we multiply 'x' by 9, we write it as '9x'.
Step 3: Next, we decrease this result by 27, which we write as '9x - 27'.
Step 4: The problem states that this result equals 0, so we write the equation: '9x - 27 = 0'.
Step 5: To solve for 'x', we first add 27 to both sides of the equation: '9x - 27 + 27 = 0 + 27', which simplifies to '9x = 27'.
Step 6: Now, we divide both sides of the equation by 9 to find 'x': 'x = 27 / 9'.
Step 7: Simplifying '27 / 9' gives us 'x = 3'.
Step 8: Therefore, the number we are looking for is 3.

Algebraic Manipulation – The question tests the ability to set up and solve a linear equation based on a word problem.
Understanding Operations – It assesses the understanding of multiplication and subtraction operations in the context of an equation.