SOLUTION: The product of two consecutive odd integers is 6 more than 5 times the smaller number, find both numbers

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Question 1026395: The product of two consecutive odd integers is 6 more than 5 times the smaller number, find both numbers
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be n and n+2
n(n+2) = 5n+6

n%5E2%2B2n+=5n%2B6

n%5E2-3n-6=0

n%5E2-3n%2B2n-6=0

n(n-3)+2(n-3)=0
(n-3)(n+2)=0
n=3 or n=-2
odd number so n=3
3,5 are the numbers