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

1 answer

Let's represent the number we're trying to find with the variable "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 quantity is equal to 2.

So, we can write the equation: (x - 3) / 4 = 2.

To solve for x, we'll multiply both sides of the equation by 4 to get rid of the fraction: x - 3 = 8.

Next, we'll add 3 to both sides of the equation to isolate x: x = 8 + 3.

Simplifying, x = 11.

Therefore, the number we're trying to find is 11.