MathDB
Turkey NMO 2007 1st Round - P11 (Algebra)

Source:

October 4, 2012

Problem Statement

If 8/198/19 of the product of largest two elements of a positive integer set is not greater than the sum of other elements, what is the minimum possible value of the largest number in the set?
<spanclass=latexbold>(A)</span> 8<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 19<spanclass=latexbold>(E)</span> 20 <span class='latex-bold'>(A)</span>\ 8 \qquad<span class='latex-bold'>(B)</span>\ 12 \qquad<span class='latex-bold'>(C)</span>\ 13 \qquad<span class='latex-bold'>(D)</span>\ 19 \qquad<span class='latex-bold'>(E)</span>\ 20