Absolute Value System

Algebra Level 4

\[ \begin{eqnarray} |a - b | &=& 2 \\ |b - c | &=& 3 \\ |c - d | &=& 4 \\ \end{eqnarray} \]

Given that \(a,b,c,d\) are real numbers that satisfy the system of equations above, what is the sum of all distinct values of \(|a-d| \)?

×

Problem Loading...

Note Loading...

Set Loading...