If a number is multiplied by 6 and then decreased by 4, the result is 14. What i

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Question: If a number is multiplied by 6 and then decreased by 4, the result is 14. What is the number?

Options:

Correct Answer: 5

Solution:

Let the number be x. The equation is 6x - 4 = 14. Adding 4 gives 6x = 18, so x = 3.

If a number is multiplied by 6 and then decreased by 4, the result is 14. What is the number?

If a number is multiplied by 6 and then decreased by 4, the result is 14. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, if we multiply 'x' by 6, we write it as '6x'.
Step 3: After multiplying by 6, we decrease the result by 4. This gives us the expression '6x - 4'.
Step 4: The problem states that this result equals 14. We can write this as an equation: '6x - 4 = 14'.
Step 5: To solve for 'x', we first need to get rid of the -4. We do this by adding 4 to both sides of the equation.
Step 6: The equation now looks like this: '6x - 4 + 4 = 14 + 4', which simplifies to '6x = 18'.
Step 7: Now, we need to find 'x'. We do this by dividing both sides of the equation by 6.
Step 8: The equation now looks like this: 'x = 18 / 6'.
Step 9: Finally, we calculate '18 / 6', which equals 3. Therefore, the number is 3.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a verbal problem.
Order of Operations – Understanding the sequence of operations (multiplication and subtraction) is crucial for correctly forming the equation.