GAUSS7 2019 Problem 19

Each of a, b, c, and d is a positive integer and is greater than 3. If

\frac{1}{a-2}=\frac{1}{b+2}=\frac{1}{c+1}=\frac{1}{d-3}

then which ordering of these four numbers is correct?

Answer Choices
A. a<b<c<d
B. c<b<a<d
C. b<a<c<d
D. d<a<c<b
E. b<c<a<d