Question

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

Answer 1

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