Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

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Question: 1 / 400

If the sum of two numbers is 10 and their difference is 4, what are the numbers?

4 and 6

5 and 5

7 and 3

To determine the correct numbers from the information given—the sum is 10 and the difference is 4—you can set up a system of equations. Let’s define the two numbers as $ x $ and $ y $.

From the sum, you can express it as:

1. $ x + y = 10 $

From the difference, you have:

2. $ x - y = 4 $

Now, you can solve these equations. Start by rearranging the first equation to express one variable in terms of the other:

$ y = 10 - x $

Next, substitute this expression for $ y $ into the second equation:

$ x - (10 - x) = 4 $

This simplifies to:

$ x - 10 + x = 4 $

Combine like terms:

$ 2x - 10 = 4 $

Add 10 to both sides:

$ 2x = 14 $

Now, divide by 2:

$ x = 7 $

Now that you know $ x $, substitute back to find $ y $:

$ y = 10 - 7 = 3 $

Thus, the numbers are 7 and 3.

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6 and 4

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Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

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