Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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Question: 1 / 400

If you double a number and then subtract 10, and the result is 20, what was the original number?

10

15

To find the original number, let's call it \( x \). The process described in the question involves two steps: doubling the number and then subtracting 10. This can be expressed with the equation:

\[ 2x - 10 = 20 \]

To solve for \( x \), first, you add 10 to both sides of the equation:

\[ 2x - 10 + 10 = 20 + 10 \]

\[ 2x = 30 \]

Next, divide both sides of the equation by 2:

\[ x = \frac{30}{2} \]

\[ x = 15 \]

Thus, the original number is 15. This illustrates the importance of following the described process correctly—doubled then subtracted—to reach the correct answer efficiently.

This demonstrates why 15 is the original number, as substituting it back into the original context (doubling it to get 30, and then subtracting 10 to arrive at 20) confirms it satisfies the condition presented in the question.

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