HSPT Math Practice Test

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Question: 1 / 400

If a number is multiplied by 4 and then decreased by 5, the result is 15. What is the number?

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5

To solve the problem, let's start by setting up an equation based on the description given.

Let the unknown number be represented by \( x \). According to the problem, when this number is multiplied by 4, and then decreased by 5, the result is 15. This can be expressed in the equation:

\[ 4x - 5 = 15 \]

To find \( x \), we need to isolate it. First, we add 5 to both sides of the equation:

\[ 4x - 5 + 5 = 15 + 5 \]

\[ 4x = 20 \]

Next, we divide both sides of the equation by 4 to solve for \( x \):

\[ x = \frac{20}{4} \]

\[ x = 5 \]

Thus, the solution shows that the number is 5, which corresponds to the answer provided. This reasoning confirms that when 5 is multiplied by 4, it gives 20, and reducing that result by 5 returns 15, thus validating the operations described in the problem. This is why the answer is correct.

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