MathDB
Simple function

Source: AHSME 1991 problem 1

October 15, 2011
functionAMC

Problem Statement

If for any three distinct numbers aa, bb and cc we define a,b,c=c+acb,\boxed{a,b,c} = \frac{c + a}{c - b}, then 1,2,3=\boxed{1,-2,-3}=
<spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 25<spanclass=latexbold>(C)</span> 14<spanclass=latexbold>(D)</span> 25<spanclass=latexbold>(E)</span> 2 <span class='latex-bold'>(A)</span>\ -2\qquad<span class='latex-bold'>(B)</span>\ -\frac{2}{5}\qquad<span class='latex-bold'>(C)</span>\ -\frac{1}{4}\qquad<span class='latex-bold'>(D)</span>\ \frac{2}{5}\qquad<span class='latex-bold'>(E)</span>\ 2