# 1969 AHSME Problems/Problem 1

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## Problem

When $x$ is added to both the numerator and denominatorof the fraction $\frac{a}{b},a\neb,b\ne0$ (Error compiling LaTeX. ! Undefined control sequence.), the value of the fraction is changed to $\frac{c}{d}$. Then $x$ equals:

$\text{(A) } \frac{1}{c-d}\quad \text{(B) } \frac{ad-bc}{c-d}\quad \text{(C) } \frac{ad-bc}{c+d}\quad \text{(D) }\frac{bc-ad}{c-d} \quad \text{(E) } \frac{bc+ad}{c-d}$

## Solution

$\fbox{B}$