SOLUTION: The product of two positive consecutive integers is 5 more than three times the larger. Find the numbers

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Question 1155295: The product of two positive consecutive integers is 5 more than three times the larger. Find the numbers
Answer by mananth(16946) About Me  (Show Source):
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n(n+1) =3(n+1)+5
n^2+n= 3n+3+5
n^2-2n-8=0
(n-4)(n+2)=0
n=4 or-2
n is positive
n=4
the numbers are 4 and 5