one-quarter of the differece of a number and 3 is 2 find the number

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1 answer

Let's start by assuming the number is x.

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

One-quarter of this difference is represented by (1/4)(x - 3).

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

(1/4)(x - 3) = 2

To solve for x, we need to isolate it. We can start by multiplying both sides of the equation by 4 to cancel out the fraction:

4 * (1/4)(x - 3) = 4 * 2
x - 3 = 8

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

x - 3 + 3 = 8 + 3
x = 11

Therefore, the number is 11.