103-- Consider sets $A$, $B$, $C$, and $D$. The number of elements of $C$ is two units more than $A$, and the number of elements of $D$ is three units less than $B$. If the number of elements of $C \times B$ is $25\%$ more than the number of elements of $A \times B$, and $\frac{1}{5}$ of the number of elements of $A \times D$ equals the number of elements of $A \times D$, what is the difference between the number of elements of sets $A$ and $B$? (1) $2$ (2) $5$ (3) $7$ (4) $15$
\textbf{103--} Consider sets $A$, $B$, $C$, and $D$. The number of elements of $C$ is two units more than $A$, and the number of elements of $D$ is three units less than $B$. If the number of elements of $C \times B$ is $25\%$ more than the number of elements of $A \times B$, and $\frac{1}{5}$ of the number of elements of $A \times D$ equals the number of elements of $A \times D$, what is the difference between the number of elements of sets $A$ and $B$?
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\hspace{1cm} (1) $2$ \hspace{2cm} (2) $5$ \hspace{2cm} (3) $7$ \hspace{2cm} (4) $15$
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