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