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2 years ago

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

SAT

1 answer:

Akimi4 [234]2 years ago

5 0

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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Let's look at each of them;

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