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.

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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) About Me  (Show Source):
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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%5E2%2B4a%2B2a%2B8=13a%2B8
:
a%5E2-7a=0
:
a%28a-7%29=0
:
a=0 and a=7
:
0 would lead to even integers so we throw that out
:
integers are:system%287%2C9%2C11%29