SOLUTION: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers

Algebra ->  Rectangles -> SOLUTION: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers      Log On


   

Question 344524: The product of two consecutive integers is 9 less than 9 times their sum. Find the integers
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
let a,a+1 the integers in question : a(a+1)=9*(a+a+1)-9

a^2+a=18a+9-9
a^2=17a

a=0 : verif : 0*1=0, 9*(0+1)-9=9-9=0.

a=17 : verif : 17*18=180+70+56=306, 9*(17+18)-9=9*35-9=9*34=340-34=306.