MathDB
Sum is Five Times the Difference

Source: 2015 AMC 12A #4 / 10A #6

February 4, 2015
ratioAMC

Problem Statement

The sum of two positive numbers is 55 times their difference. What is the ratio of the larger number to the smaller?
<spanclass=latexbold>(A)</span>54<spanclass=latexbold>(B)</span>32<spanclass=latexbold>(C)</span>95<spanclass=latexbold>(D)</span>2<spanclass=latexbold>(E)</span>52<span class='latex-bold'>(A) </span>\dfrac54\qquad<span class='latex-bold'>(B) </span>\dfrac32\qquad<span class='latex-bold'>(C) </span>\dfrac95\qquad<span class='latex-bold'>(D) </span>2\qquad<span class='latex-bold'>(E) </span>\dfrac52