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The product of two consecutive positive integers is 27 more than 5 times the larger

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Deathstrike001id
X-smaller
x+1-larger

x(x+1)=5(x+1)+27
x^2+x=5x+5+27
x^2-4x=32
x^2-4x+4=32+4
(x-4)^2=36
x-4=6           X-4=-6
x=10            X=-2

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