A number is multiplied by 4 and then decreased by 8 to equal 16. What is the num

₹0.0

Question: A number is multiplied by 4 and then decreased by 8 to equal 16. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. The equation is 4x - 8 = 16. Adding 8 to both sides gives 4x = 24. Dividing by 4 gives x = 6.

A number is multiplied by 4 and then decreased by 8 to equal 16. What is the number?

A number is multiplied by 4 and then decreased by 8 to equal 16. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the problem, when we multiply 'x' by 4, we get '4x'.
Step 3: After multiplying by 4, we decrease the result by 8. This gives us the expression '4x - 8'.
Step 4: The problem states that this expression equals 16. So we write the equation: 4x - 8 = 16.
Step 5: To solve for 'x', we first need to get rid of the -8. We do this by adding 8 to both sides of the equation.
Step 6: After adding 8, the equation becomes: 4x = 16 + 8, which simplifies to 4x = 24.
Step 7: Now, we need to find 'x'. We do this by dividing both sides of the equation by 4.
Step 8: Dividing 4x by 4 gives us 'x', and dividing 24 by 4 gives us 6.
Step 9: Therefore, the number we are looking for is 6.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.
Order of Operations – Understanding the correct sequence of operations when manipulating the equation.