<PRE><B>Question 180495</B>
Find the greatest of three consecutive odd intergers if the product of the  second and third is 8 more than 13 times the first.
:
let the 3 CONSECUTIVE (ODD) integers be a,b,and c. remember each addional odd integer is 2 more than the previous one.
:
a...........integer 1
b=a+2.......integer 2
c=a+4.......integer 3
:
(a+2)(a+4)=13a+8
:
{{{a^2+4a+2a+8=13a+8}}}
:
{{{a^2-7a=0}}}
:
{{{a(a-7)=0}}}
:
a=0 and a=7
:
0  would lead to even integers so we throw that out
:
integers are:{{{system(7,9,11)}}}</PRE>