If 4 times a number is increased by 6, the result is 30. What is the number?

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Question: If 4 times a number is increased by 6, the result is 30. What is the number?

Options:

Correct Answer: 7

Solution:

Let the number be x. Then, 4x + 6 = 30. Subtracting 6 from both sides gives 4x = 24. Dividing by 4 gives x = 6.

If 4 times a number is increased by 6, the result is 30. What is the number?

If 4 times a number is increased by 6, the result is 30. What is the number?

Step 1: Let's call the unknown number 'x'.
Step 2: According to the question, 4 times this number is written as '4x'.
Step 3: The question says that if we increase '4x' by 6, we get 30. We can write this as the equation: 4x + 6 = 30.
Step 4: To solve for 'x', we first need to get rid of the +6. We do this by subtracting 6 from both sides of the equation.
Step 5: After subtracting 6, the equation becomes: 4x = 30 - 6.
Step 6: Now, calculate 30 - 6, which equals 24. So, we have: 4x = 24.
Step 7: Next, we need to find 'x'. To do this, we divide both sides of the equation by 4.
Step 8: When we divide 24 by 4, we get 6. So, x = 6.
Step 9: Therefore, the number we were looking for is 6.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.