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.