a number is divided by 3 and then 7 is added to the quotient. The result is 11. Find the number

12

How did you get this number though?

11-7=4

4*3=12

i need an equation though.

X=(11-7)3

X=12

To find the number, we can follow these steps:

1. Let's assume the number is represented by the variable "x".

2. According to the problem, when the number is divided by 3, we get a quotient. Let's call this quotient "q". So, we have "x/3 = q".

3. The problem states that 7 is added to the quotient. Therefore, the expression becomes "q + 7".

4. The question tells us that the result of this expression is 11. So, we can write the equation "q + 7 = 11".

5. To solve for "q", we need to isolate it. Subtracting 7 from both sides of the equation, we get "q = 11 - 7".

6. Simplifying further, we have "q = 4".

7. Now, we can substitute the value of "q" back into the equation "x/3 = q" to find "x". In this case, "x/3 = 4".

8. Solving for "x", we multiply both sides of the equation by 3: "3 * (x/3) = 4 * 3".

9. Simplifying, we get "x = 12".

Therefore, the number we are looking for is 12.