A number is decreased by 9 and then multiplied by 4 to give 28. What is the numb

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Question: A number is decreased by 9 and then multiplied by 4 to give 28. What is the number?

Options:

Correct Answer: 9

Solution:

Let the number be x. The equation is 4(x - 9) = 28. Dividing by 4 gives x - 9 = 7, so x = 16.

A number is decreased by 9 and then multiplied by 4 to give 28. What is the number?

A number is decreased by 9 and then multiplied by 4 to give 28. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, we first decrease this number by 9. This can be written as 'x - 9'.
Step 3: Next, we multiply the result from Step 2 by 4. This gives us '4(x - 9)'.
Step 4: The problem states that this result equals 28. So we can write the equation: 4(x - 9) = 28.
Step 5: To solve for 'x', we first divide both sides of the equation by 4. This simplifies to: x - 9 = 7.
Step 6: Now, we need to find 'x'. We do this by adding 9 to both sides of the equation: x = 7 + 9.
Step 7: Finally, we calculate the right side: x = 16.

Algebraic Manipulation – The question tests the ability to set up and solve a linear equation based on a word problem.
Order of Operations – Understanding the sequence of operations (decrease, then multiply) is crucial for correctly forming the equation.