Question 616635
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Hi, 
find three {{{consecutive}}} positive integers
 What is the smallest integer? {{{n}}}
 What is the second smallest integer? (n+1)
 What is the largest integer? (n+2)
product of the first and third, minus the second, is 1 more than 6 times the third.
 n(n+2) - (n+1) = 6(n+2)+1
 n^2 -5n -14 = 0
(n+2)(n-7) = 0, {{{ n = 7}}} (tossing out the negative solution for n)
the three consecutive positive integers are: 7,8,9
CHECKING our Answer***
 7*9 - 8 = 55 = 6*9 + 1