MathDB
Ordered Triples of Integers Satisfying Two Equations

Source:

January 18, 2009

Problem Statement

How many ordered triples of integers (a,b,c) (a, b, c) satisfy|a \plus{} b| \plus{} c \equal{} 19 \text{and}  ab \plus{} |c| \equal{} 97? <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 10<spanclass=′latex−bold′>(E)</span> 12<span class='latex-bold'>(A)</span>\ 0\qquad <span class='latex-bold'>(B)</span>\ 4\qquad <span class='latex-bold'>(C)</span>\ 6\qquad <span class='latex-bold'>(D)</span>\ 10\qquad <span class='latex-bold'>(E)</span>\ 12
Back to ProblemsView on AoPS