If 5 times a number is decreased by 2, the result is 18. What is the number?

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Question: If 5 times a number is decreased by 2, the result is 18. What is the number?

Options:

Correct Answer: 6

Solution:

Let the number be x. Then, 5x - 2 = 18. Adding 2 to both sides gives 5x = 20. Dividing by 5 gives x = 4.

If 5 times a number is decreased by 2, the result is 18. What is the number?

If 5 times a number is decreased by 2, the result is 18. What is the number?

Step 1: Let the unknown number be represented by the letter 'x'.
Step 2: According to the problem, 5 times this number (5x) is decreased by 2. This can be written as '5x - 2'.
Step 3: The problem states that this result equals 18. So we can write the equation: 5x - 2 = 18.
Step 4: To solve for x, we first need to get rid of the -2. We do this by adding 2 to both sides of the equation.
Step 5: After adding 2 to both sides, the equation becomes: 5x = 20.
Step 6: Now, we need to find the value of x. We do this by dividing both sides of the equation by 5.
Step 7: After dividing, we find that x = 4.

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