MathDB
Sums of Numbers

Source: 2015 AMC 10B #3

February 26, 2015
AMC

Problem Statement

Isaac has written down one integer two times and another integer three times. The sum of the five numbers is 100100, and one of the numbers is 2828. What is the other number? <spanclass=latexbold>(A)</span>8<spanclass=latexbold>(B)</span>11<spanclass=latexbold>(C)</span>14<spanclass=latexbold>(D)</span>15<spanclass=latexbold>(E)</span>18<span class='latex-bold'>(A) </span> 8 \qquad<span class='latex-bold'>(B) </span> 11 \qquad<span class='latex-bold'>(C) </span> 14 \qquad<span class='latex-bold'>(D) </span> 15 \qquad<span class='latex-bold'>(E) </span> 18