SOLUTION: Find the greatest of three consecutive odd intergers if the product of the second and third is 8 more than 13 times the first.

Question 180495: Find the greatest of three consecutive odd intergers if the product of the second and third is 8 more than 13 times the first.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
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=0 and a=7
:
0 would lead to even integers so we throw that out
:
integers are:
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