Question 860008
consecutive positive integers: x, (x+1)


x + (x+1)^2 = 19
x + x^2 + 2x + 1 = 19
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
x = -6, x = 3


x is positive, so the integers are 3 and 4.