SOLUTION: The product of two consecutive odd integers added to their sum is 119. What are the two integers? Thank you in advance for your help. Michelle. Confused Mom p.s. Is there a

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The product of two consecutive odd integers added to their sum is 119. What are the two integers? Thank you in advance for your help. Michelle. Confused Mom p.s. Is there a      Log On


   



Question 782389: The product of two consecutive odd integers added to their sum is 119. What are the two integers?
Thank you in advance for your help.
Michelle.
Confused Mom
p.s. Is there a formulae that I am not finding for this?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two consecutive odd integers added to their sum is 119. What are the two integers?
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Call the 1st one x, the 2nd is x + 2
x*(x+2) + x + x+2 = 119
x%5E2+%2B+4x+%2B+2+=+119
x%5E2+%2B+4x+-+117+=+0
(x + 13)*(x - 9) = 0
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x = -13 --> -13 & -11
x = 9 --> 9 & 11
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check both answers
-13*-11 - 24 = 143 - 24 = 119
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9*11 + 20 = 119