If a number is multiplied by 3 and then increased by 9, the result is 30. What i

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Question: If a number is multiplied by 3 and then increased by 9, the result is 30. What is the number?

Options:

Correct Answer: 6

Solution:

Let the number be x. The equation is 3x + 9 = 30. Subtracting 9 from both sides gives 3x = 21. Dividing by 3 gives x = 7.

If a number is multiplied by 3 and then increased by 9, the result is 30. What is the number?

If a number is multiplied by 3 and then increased by 9, the result is 30. 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 3, we write it as 3x.
Step 3: Next, we increase this result (3x) by 9, which we write as 3x + 9.
Step 4: The problem states that this final result equals 30, so we can write the equation: 3x + 9 = 30.
Step 5: To solve for x, we first need to get rid of the +9. We do this by subtracting 9 from both sides of the equation: 3x + 9 - 9 = 30 - 9.
Step 6: This simplifies to 3x = 21.
Step 7: Now, we need to find x. We do this by dividing both sides of the equation by 3: 3x / 3 = 21 / 3.
Step 8: This simplifies to x = 7.
Step 9: Therefore, the number we are looking for is 7.

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 before addition) is crucial in forming the correct equation.