If a number is multiplied by 3 and then increased by 4, the result is 19. What i

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Question: If a number is multiplied by 3 and then increased by 4, the result is 19. What is the number?

Options:

Correct Answer: 6

Solution:

Let the number be x. The equation is 3x + 4 = 19. Subtracting 4 gives 3x = 15, so x = 5.

If a number is multiplied by 3 and then increased by 4, the result is 19. What is the number?

If a number is multiplied by 3 and then increased by 4, the result is 19. 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 by 4, which gives us the expression 3x + 4.
Step 4: The problem states that this expression equals 19, so we write the equation: 3x + 4 = 19.
Step 5: To solve for x, we first need to get rid of the +4. We do this by subtracting 4 from both sides of the equation.
Step 6: After subtracting 4, the equation becomes 3x = 19 - 4, which simplifies to 3x = 15.
Step 7: Now, we need to find x. We do this by dividing both sides of the equation by 3.
Step 8: Dividing 15 by 3 gives us x = 5.

Algebraic Equations – The question tests the ability to set up and solve a linear equation based on a word problem.
Order of Operations – Understanding the sequence of operations (multiplication before addition) is crucial in forming the correct equation.