One-quarter of the difference of a number and 3 is 2, what would that number be?

1 answer

Let's assume the number is represented by a variable, say "x".

The difference between the number and 3 can be written as (x - 3).

One-quarter of this difference can be written as (1/4)(x - 3).

According to the problem, this value is equal to 2: (1/4)(x - 3) = 2.

To solve for x, we can multiply both sides of the equation by 4 (to eliminate the fraction): 4(1/4)(x - 3) = 4(2).

This simplifies to: x - 3 = 8.

Finally, solving for x by adding 3 to both sides: x = 8 + 3.

The number would be x = 11.