2015 AMC 10A Problems/Problem 6
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Problem
The sum of two positive numbers is 
times their difference. What is the ratio of the larger number to the smaller number?
$\textbf{(A)}\ \frac{5}{4}\qquad\textbf{(B)}\ \frac{3}{2}\qquad\textbf{(C)}\ \frac{9}{5}\qquad\textbf{(D)}}\ 2 \qquad\textbf{(E)}\ \frac{5}{2}$ (Error compiling LaTeX. Unknown error_msg)
Solution
Let 
be the bigger number and 
be the smaller.
.
Solving gives $\fracab = \frac32$ (Error compiling LaTeX. Unknown error_msg), so the answer is \boxed{\textbf{(B) }\frac32}$.
