If a number is multiplied by 4 and then increased by 8, the result is 32. What i

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Question: If a number is multiplied by 4 and then increased by 8, the result is 32. What is the number?

Options:

Correct Answer: 4

Solution:

Let the number be x. Then, 4x + 8 = 32. Subtracting 8 from both sides gives 4x = 24. Dividing by 4 gives x = 6.

If a number is multiplied by 4 and then increased by 8, the result is 32. What is the number?

If a number is multiplied by 4 and then increased by 8, the result is 32. What is the number?

Step 1: Let the unknown number be represented by the letter x.
Step 2: According to the problem, if we multiply this number (x) by 4, we write it as 4x.
Step 3: Next, we increase this result (4x) by 8, which we write as 4x + 8.
Step 4: The problem states that this final result equals 32, so we can write the equation: 4x + 8 = 32.
Step 5: To solve for x, we first need to get rid of the +8. We do this by subtracting 8 from both sides of the equation: 4x + 8 - 8 = 32 - 8.
Step 6: This simplifies to 4x = 24.
Step 7: Now, we need to find x. We do this by dividing both sides of the equation by 4: 4x / 4 = 24 / 4.
Step 8: This simplifies to x = 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 verbal problem.