Question

A number is multiplied by 6, and that product is added to 3. The sum is equal to the product of 3 and 9. Find the number.

Answer 1

The student's algebra problem is solved by setting up the equation 6x + 3 = 27 and solving for x, resulting in the number being 4.

Step-by-step explanation:

To solve the problem, set up an equation based on the information provided: if a number is multiplied by 6 and then 3 is added to the product, and if this total is equal to 3 multiplied by 9, we can form the equation 6x + 3 = 27. To find the number, simply solve for x.

First, subtract 3 from both sides of the equation to isolate the terms with x on one side:
6x + 3 - 3 = 27 - 3, which simplifies to 6x = 24. Next, divide both sides by 6 to solve for x:
6x / 6 = 24 / 6, which gives us x = 4.

So, the number we were looking for is 4.

Answer 2

Answer: 4

Step-by-step explanation:

Let assume the number to be = x

The second statements stated that

6 ˣ x + 3 = 3 ˣ 9

6x + 3 = 27 , solving the simple linear equation,

6x = 27 - 3

6x = 24, and by dividing through by 6

x = 4

Therefore , the number is 4