MathDB

Suppose

S = \{1, 2, 3, x\}

is a set with four distinct real numbers for which the difference between the largest and smallest values of

S

is equal to the sum of elements of

S.

What is the value of

x?

\mathrm a. ~ {-1}\qquad \mathrm b.~{-3/2}\qquad \mathrm c. ~{-2} \qquad \mathrm d. ~{-2/3} \qquad \mathrm e. ~{-3}

Problem Statement