SOLUTION: The product of two consecutive positive integers is 11 more than their sum. What are the integers?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The product of two consecutive positive integers is 11 more than their sum. What are the integers?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 358019: The product of two consecutive positive integers is 11 more than their sum. What are the integers?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X(X+1)=X+X+1+11
X^2+X=2X+12
X^2+X-2X-12=0
X62-X-12=0
(X-4)(X+3)=0
X-4=0
X=4 ANS.
4+1=5 ANS.
PROOF:
4*5=4+5+11
20=20