2002 AMC 10B Problems/Problem 11
Revision as of 03:08, 27 December 2008 by Lifeisacircle (talk | contribs) (New page: == Problem == The product of three consecutive positive integers is <math>8</math> times their sum. What is the sum of the squares? <math> \mathrm{(A) \ } 50\qquad \mathrm{(B) \ } 77\qqu...)
Problem
The product of three consecutive positive integers is times their sum. What is the sum of the squares?
Solution
Let the three consecutive positive integers be ,
, and
. So,
. Rearranging and factoring,
, so
. Hence, the sum of the squares is