A number is decreased by 4 and then multiplied by 3. The result is 18. What is t

₹0.0

Question: A number is decreased by 4 and then multiplied by 3. The result is 18. What is the number?

Options:

Correct Answer: 8

Solution:

Let the number be x. Then, 3(x - 4) = 18. Dividing by 3 gives x - 4 = 6. Adding 4 gives x = 10.

A number is decreased by 4 and then multiplied by 3. The result is 18. What is the number?

A number is decreased by 4 and then multiplied by 3. The result is 18. What is the number?

Step 1: Let the unknown number be represented by 'x'.
Step 2: According to the problem, we first decrease the number by 4. This can be written as 'x - 4'.
Step 3: Next, we multiply the result from Step 2 by 3. This gives us '3(x - 4)'.
Step 4: We know from the problem that this result equals 18. So we can write the equation: 3(x - 4) = 18.
Step 5: To solve for 'x', we first divide both sides of the equation by 3. This simplifies to 'x - 4 = 6'.
Step 6: Now, we need to find 'x'. We do this by adding 4 to both sides of the equation: 'x = 6 + 4'.
Step 7: Finally, we calculate the result: 'x = 10'.

Algebraic Manipulation – The question tests the ability to set up and solve a linear equation based on a verbal description.
Order of Operations – Understanding the sequence of operations (decrease, then multiply) is crucial for correctly forming the equation.