If $a, b,$ and $c$ are nonzero numbers and $a + b = c,$ which of the following is equal to $1?$

If $a, b,$ and $c$ are nonzero numbers and $a + b = c,$ which of the following is equal to $1?$

(A) $\dfrac{a - b}{c}$

(B) $\dfrac{a - c}{b}$

(C) $\dfrac{b - c}{a}$

(D) $\dfrac{b - a}{c}$

(E) $\dfrac{c - b}{a}$

Answer: E

Source: Official Guide

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