The product of the second and third of three consecutive integers is 2 more than 15 times the first integer. Find the integers.

Answer 1

(x+1)( x+ 2 )= 2 + 15x

x^2 +3x +2= 2 +15x

x^2 - 12x =0

x= 0 or 12

0, 1 and 2 are the three consecutive integers

or 12, 13 and 14

13(14) = 15(12) =180+2= 182