If a number is multiplied by 3 and then decreased by 5, the result is 16. What i

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Question: If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. Then, 3x - 5 = 16. Solving gives x = 7.

If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?

If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?

Step 1: Let's call the unknown number '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 5. This gives us the expression 3x - 5.
Step 4: The problem states that this result equals 16. So we can write the equation: 3x - 5 = 16.
Step 5: To solve for 'x', we first add 5 to both sides of the equation: 3x - 5 + 5 = 16 + 5.
Step 6: This simplifies to 3x = 21.
Step 7: Now, we divide both sides by 3 to find 'x': 3x / 3 = 21 / 3.
Step 8: This simplifies to x = 7.

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