If a number is multiplied by 3 and then decreased by 9, the result is 6. What is

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Question: If a number is multiplied by 3 and then decreased by 9, the result is 6. What is the number? (2019)

Options:

Correct Answer: 5

Exam Year: 2019

Solution:

Let the number be x. Then 3x - 9 = 6. Solving gives 3x = 15, so x = 5.

If a number is multiplied by 3 and then decreased by 9, the result is 6. What is the number? (2019)

If a number is multiplied by 3 and then decreased by 9, the result is 6. What is the number? (2019)

Step 1: Let the unknown number be represented by the letter 'x'.
Step 2: According to the problem, if we multiply 'x' by 3, we write it as '3x'.
Step 3: After multiplying by 3, we decrease the result by 9. This gives us the expression '3x - 9'.
Step 4: The problem states that this expression equals 6. So we write the equation: '3x - 9 = 6'.
Step 5: To solve for 'x', we first add 9 to both sides of the equation: '3x - 9 + 9 = 6 + 9'.
Step 6: This simplifies to '3x = 15'.
Step 7: Now, we divide both sides of the equation by 3 to isolate 'x': '3x / 3 = 15 / 3'.
Step 8: This simplifies to 'x = 5'.
Step 9: Therefore, the number we are looking for is 5.

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