The product of two consecutive positive integers is 11 more than their sum. What the integers? Please help.

2 answers

x(x + 1) = x + (x + 1) + 11

Your move.
x^2 + x = 2x + 12
x^2 -x -12 = 0
(x-4)(x+3) = 0

The only positive solution for x is
x = 4. That is the smaller of the two numbers.