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

Question

A. 5/4
B. 20
C. 11
D. 3 1/2

Answer 1

Let the number be x.
The difference of the number and 3 is x - 3.
One-quarter of this difference is (x - 3)/4.
We are given that this value is 2, so we can write the equation:
(x - 3)/4 = 2
Multiply both sides of the equation by 4 to get rid of the fraction:
x - 3 = 8
Add 3 to both sides of the equation:
x = 11
The number is 11.
The answer is C. 11.