1967 AHSME Problems/Problem 19

Problem

The area of a rectangle remains unchanged when it is made $2 \frac{1}{2}$ inches longer and $\frac{2}{3}$ inch narrower, or when it is made $2 \frac{1}{2}$ inches shorter and $\frac{4}{3}$ inch wider. Its area, in square inches, is:

$\textbf{(A)}\ 30\qquad \textbf{(B)}\ \frac{80}{3}\qquad \textbf{(C)}\ 24\qquad \textbf{(D)}\ \frac{45}{2}\qquad \textbf{(E)}\ 20$

Solution

$\fbox{E}$

1967 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 18	Followed by Problem 20
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1967 AHSME Problems/Problem 19

Problem

Solution

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