MathDB
AMC 8 2008 Problem 13

Source:

November 28, 2010
factorial

Problem Statement

Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than 100100 pounds or more than 150150 pounds. So the boxes are weighed in pairs in every possible way. The results are 122122, 125125 and 127127 pounds. What is the combined weight in pounds of the three boxes?
<spanclass=latexbold>(A)</span> 160<spanclass=latexbold>(B)</span> 170<spanclass=latexbold>(C)</span> 187<spanclass=latexbold>(D)</span> 195<spanclass=latexbold>(E)</span> 354<span class='latex-bold'>(A)</span>\ 160\qquad <span class='latex-bold'>(B)</span>\ 170\qquad <span class='latex-bold'>(C)</span>\ 187\qquad <span class='latex-bold'>(D)</span>\ 195\qquad <span class='latex-bold'>(E)</span>\ 354