Difference between revisions of "2015 AMC 10A Problems/Problem 6"
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<math>a + b = 5(a - b)</math>. | <math>a + b = 5(a - b)</math>. | ||
| − | Solving gives <math>\ | + | Solving gives <math>\frac{a}{b} = \frac32</math>, so the answer is \boxed{\textbf{(B) }\frac32}$. |
Revision as of 14:18, 4 February 2015
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 
, so the answer is \boxed{\textbf{(B) }\frac32}$.
