If 5 times a number decreased by 3 equals 12, what is the number?

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Question: If 5 times a number decreased by 3 equals 12, what is the number?

Options:

Correct Answer: 4

Solution:

Let the number be x. The equation is: 5x - 3 = 12. Adding 3 to both sides gives 5x = 15, so x = 3.

If 5 times a number decreased by 3 equals 12, what is the number?

If 5 times a number decreased by 3 equals 12, what is the number?

Step 1: Identify the unknown number. Let's call it x.
Step 2: Write down the equation based on the problem: 5 times the number (5x) decreased by 3 equals 12. So, we write: 5x - 3 = 12.
Step 3: To solve for x, we need to get rid of the -3. We do this by adding 3 to both sides of the equation.
Step 4: After adding 3 to both sides, the equation becomes: 5x - 3 + 3 = 12 + 3, which simplifies to 5x = 15.
Step 5: Now, we need to find x. We do this by dividing both sides of the equation by 5.
Step 6: After dividing, we have: x = 15 / 5, which simplifies to x = 3.
Step 7: Therefore, the number we are looking for is 3.

Algebraic Equations – The question tests the ability to set up and solve a linear equation.
Operations with Equations – It assesses the understanding of performing operations (addition, multiplication) to isolate the variable.