Question

The product of two consecutive positive integers is greater than their sum by 209.

Answer 1

Answer: 15 and 16

Explanation:

You can set up an equation N is one positive integer, and N+1 is the second (because they are consecutive, so it's the first number plus one).

Equation to solve for N

N(N+1) = N + (N+1) + 209

N^2 + N = 2N +1 + 209

N^2 - N - 210 =  0 (factor here)

N = 15 or N = -14

Since the question asks for the positive integers, you know the first number is 15, then the next would be 16.