# The product of two consecutive integers is 210. What are the numbers?

Sep 2, 2016

The numbers are $14$ and $15$.

#### Explanation:

Let the numbers be $x$ and $x + 1$.

$x \left(x + 1\right) = 210$

${x}^{2} + x = 210$

${x}^{2} + x - 210 = 0$

$\left(x + 15\right) \left(x - 14\right) = 0$

$x = - 15 \mathmr{and} 14$

Hence, the numbers are $14$ and $15$.

Hopefully this helps!