If 3 times a number plus 4 equals 19, what is the number?

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Question: If 3 times a number plus 4 equals 19, what is the number?

Options:

Correct Answer: 5

Solution:

Let the number be x. The equation is 3x + 4 = 19. Subtracting 4 from both sides gives 3x = 15. Dividing by 3 gives x = 5.

If 3 times a number plus 4 equals 19, what is the number?

If 3 times a number plus 4 equals 19, what is the number?

Step 1: Let the unknown number be represented by the letter x.
Step 2: Write down the equation based on the problem: 3 times the number (3x) plus 4 equals 19. This gives us the equation 3x + 4 = 19.
Step 3: To isolate the term with x, subtract 4 from both sides of the equation. This means we do 19 - 4.
Step 4: After subtracting, the equation simplifies to 3x = 15.
Step 5: Now, to find the value of x, divide both sides of the equation by 3. This means we do 15 ÷ 3.
Step 6: After dividing, we find that x = 5.

Algebraic Equations – The question tests the ability to set up and solve a linear equation.
Basic Arithmetic Operations – The question involves addition, subtraction, and division as part of solving the equation.