MathDB
Averages and Numbers

Source:

February 11, 2009

Problem Statement

Four positive integers are given. Select any three of these integers, find their arithmetic average, and add this result to the fourth integer. Thus the numbers 29 29, 23 23, 21 21, and 17 17 are obtained. One of the original integers is: <spanclass=latexbold>(A)</span> 19<spanclass=latexbold>(B)</span> 21<spanclass=latexbold>(C)</span> 23<spanclass=latexbold>(D)</span> 29<spanclass=latexbold>(E)</span> 17 <span class='latex-bold'>(A)</span>\ 19 \qquad <span class='latex-bold'>(B)</span>\ 21 \qquad <span class='latex-bold'>(C)</span>\ 23 \qquad <span class='latex-bold'>(D)</span>\ 29 \qquad <span class='latex-bold'>(E)</span>\ 17