One-quarter of the difference of a number and 3 is 2. find the number

Answer 1

Let's call the number x.

The difference between the number and 3 is x - 3.

One-quarter of this difference is (x - 3) / 4.

According to the problem, this value is equal to 2:

(x - 3) / 4 = 2

To solve for x, we can multiply both sides of the equation by 4:

4 * (x - 3) / 4 = 2 * 4

Simplifying:

x - 3 = 8

Next, we can add 3 to both sides of the equation:

x - 3 + 3 = 8 + 3

Simplifying again:

x = 11

Therefore, the number is 11.